Solve for t. Give an exact answer. {:[3t-18=4(-3-(3)/(4)t)],[t=◻]:}

Distribute and simplify: Simplify the equation on the right side by distributing the 4 into the parentheses. 4(-3 - (3/4)t) = 4 * -3 + 4 * -(3/4)t = -12 - 3tSimplified system of equations: Now we have the simplified system of equations: 3t - 18 = -12 - 3tCombine like terms: Add 3t to both sides of the equation to get all the t terms on one side. 3t - 18 + 3t = -12 - 3t + 3t 6t - 18 = -12Isolate the term with t: Add 18 to both sides of the equation to isolate the term with t. 6t - 18 + 18 = -12 + 18 6t = 6Solve for t: Divide both sides of the equation by 6 to solve for t. 6t / 6 = 6 / 6 t = 1

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Solve for
t.
Give an exact answer.

{:[3t-18=4(-3-(3)/(4)t)],[t=◻]:}

Solve for $t$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 3 t-18=4\left(-3-\frac{3}{4} t\right) \\ t=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

t

\newline

Give an exact answer.

\newline

\begin{array}{l} 3 t-18=4\left(-3-\frac{3}{4} t\right) \\ t=\square \end{array}

Distribute and simplify: Simplify the equation on the right side by distributing the $4$ into the parentheses. $4(-3 - \frac{3}{4}t)$ $= 4 \times -3 + 4 \times -\left(\frac{3}{4}t\right)$ $= -12 - 3t$
Simplified system of equations: Now we have the simplified system of equations: $3t - 18 = -12 - 3t$
Combine like terms: Add $3t$ to both sides of the equation to get all the $t$ terms on one side. $\newline$ $3t - 18 + 3t = -12 - 3t + 3t$ $\newline$ $6t - 18 = -12$
Isolate the term with t: Add $18$ to both sides of the equation to isolate the term with $t$ . $\newline$ $6t - 18 + 18 = -12 + 18$ $\newline$ $6t = 6$
Solve for t: Divide both sides of the equation by $6$ to solve for t. $\newline$ $\frac{6t}{6} = \frac{6}{6}$ $\newline$ $t = 1$