Solve for g. {:[6(-2g-1)=-(13 g+2)],[g=◻]:}

Distribute 6 to both terms: Distribute 6 to both terms inside the parentheses. 6(-2g - 1) = 6 * -2g + 6 * -1 = -12g - 6Simplify equation by distributing negative sign: Simplify the equation by distributing the negative sign on the right side. -(13g + 2) = -13g - 2Set simplified expressions equal: Set the simplified expressions equal to each other. -12g - 6 = -13g - 2Isolate variable terms by adding 13g: Isolate the variable terms by adding 13g to both sides. -12g + 13g - 6 = -13g + 13g - 2 g - 6 = -2Isolate g by adding 6: Isolate g by adding 6 to both sides. g - 6 + 6 = -2 + 6 g = 4

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Solve for
g.

{:[6(-2g-1)=-(13 g+2)],[g=◻]:}

Solve for $g$ . $\newline$ $\begin{array}{l} 6(-2 g-1)=-(13 g+2) \\ g=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

g

\newline

\begin{array}{l} 6(-2 g-1)=-(13 g+2) \\ g=\square \end{array}

Distribute $6$ to both terms: Distribute $6$ to both terms inside the parentheses. $\newline$ $6(-2g - 1) = 6 \times -2g + 6 \times -1$ $\newline$ $= -12g - 6$
Simplify equation by distributing negative sign: Simplify the equation by distributing the negative sign on the right side. $- (13g + 2) = -13g - 2$
Set simplified expressions equal: Set the simplified expressions equal to each other. $-12g - 6 = -13g - 2$
Isolate variable terms by adding $13g$ : Isolate the variable terms by adding $13g$ to both sides. $\newline$ $-12g + 13g - 6 = -13g + 13g - 2$ $\newline$ $g - 6 = -2$
Isolate $g$ by adding $6$ : Isolate $g$ by adding $6$ to both sides. $\newline$ $g - 6 + 6 = -2 + 6$ $\newline$ $g = 4$