Solve for s. {:[2-2s=(3)/(4)s+13],[s=◻]:}

Isolate variable s: First, we need to isolate the variable s on one side of the equation. We will start with the first equation: 2 - 2s = (3/4)s + 13. Let's move all the terms involving s to one side and the constant terms to the other side.Add 2s to both sides: Add 2s to both sides to get all the s terms on one side: 2 - 2s + 2s = (3/4)s + 13 + 2s This simplifies to: 2 = (3/4)s + 2s + 13Combine like terms: Now, we need to combine like terms on the right side. To do this, we need a common denominator. The common denominator for 3/4 and 2 is 4, so we convert 2 to 8/4: 2 = (3/4)s + (8/4)s + 13Combine s terms: Combine the s terms: 2 = (11/4)s + 13Subtract 13: Now, subtract 13 from both sides to isolate the terms with s: 2 - 13 = (11/4)s This simplifies to: -11 = (11/4)sDivide by (11/4): To solve for s, divide both sides by (11/4): (-11) / (11/4) = sMultiply by reciprocal: When dividing by a fraction, multiply by the reciprocal: (-11) * (4/11) = sFinal solution: The 11s cancel out, and we are left with: s = -4

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Solve for
s.

{:[2-2s=(3)/(4)s+13],[s=◻]:}

Solve for $s$ . $\newline$ $\begin{array}{l} 2-2 s=\frac{3}{4} s+13 \\ s=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

s

\newline

\begin{array}{l} 2-2 s=\frac{3}{4} s+13 \\ s=\square \end{array}

Isolate variable $s$ : First, we need to isolate the variable $s$ on one side of the equation. We will start with the first equation: $2 - 2s = \frac{3}{4}s + 13$ . Let's move all the terms involving $s$ to one side and the constant terms to the other side.
Add $2$ s to both sides: Add $2s$ to both sides to get all the $s$ terms on one side: $\newline$ $2 - 2s + 2s = \left(\frac{3}{4}\right)s + 13 + 2s$ $\newline$ This simplifies to: $\newline$ $2 = \left(\frac{3}{4}\right)s + 2s + 13$
Combine like terms: Now, we need to combine like terms on the right side. To do this, we need a common denominator. The common denominator for $\frac{3}{4}$ and $2$ is $4$ , so we convert $2$ to $\frac{8}{4}$ : $\newline$ $2 = \left(\frac{3}{4}\right)s + \left(\frac{8}{4}\right)s + 13$
Combine $s$ terms: Combine the $s$ terms: $\newline$ $2 = \left(\frac{11}{4}\right)s + 13$
Subtract $13$ : Now, subtract $13$ from both sides to isolate the terms with $s$ : $2 - 13 = \left(\frac{11}{4}\right)s$ This simplifies to: $-11 = \left(\frac{11}{4}\right)s$
Divide by $(\frac{11}{4}):$ To solve for $s$ , divide both sides by $(\frac{11}{4}):$ $\frac{-11}{\frac{11}{4}} = s$
Multiply by reciprocal: When dividing by a fraction, multiply by the reciprocal: $(-11) \times \left(\frac{4}{11}\right) = s$
Final solution: The $11s$ cancel out, and we are left with: $\newline$ $s = -4$