Solve for n. {:[2-2n=3n+17],[n=◻]:}

Given equation and like terms: Start with the given equation 2 - 2n = 3n + 17. We need to collect like terms to isolate n.Moving n terms to one side: Add 2n to both sides to move the n terms to one side. 2 - 2n + 2n = 3n + 17 + 2n This simplifies to: 2 = 5n + 17Isolating the term with n: Subtract 17 from both sides to isolate the term with n. 2 - 17 = 5n + 17 - 17 This simplifies to: -15 = 5nSolving for n: Divide both sides by 5 to solve for n. -15 / 5 = 5n / 5 This simplifies to: n = -3

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Solve for $n$ . $\newline$ $\begin{array}{l} 2-2 n=3 n+17 \\ n=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

n

\newline

\begin{array}{l} 2-2 n=3 n+17 \\ n=\square \end{array}

Given equation and like terms: Start with the given equation $2 - 2n = 3n + 17$ . $\newline$ We need to collect like terms to isolate $n$ .
Moving $n$ terms to one side: Add $2n$ to both sides to move the $n$ terms to one side. $\newline$ $2 - 2n + 2n = 3n + 17 + 2n$ $\newline$ This simplifies to: $\newline$ $2 = 5n + 17$
Isolating the term with $n$ : Subtract $17$ from both sides to isolate the term with $n$ . $\newline$ $2 - 17 = 5n + 17 - 17$ $\newline$ This simplifies to: $\newline$ $-15 = 5n$
Solving for n: Divide both sides by $5$ to solve for $n$ . $-\frac{15}{5} = \frac{5n}{5}$ This simplifies to: $n = -3$