Solve for g. Give an exact answer. {:[12 g=12((2)/(3)g-1)+11],[g=◻]:}

Simplify equation inside parentheses: Simplify the equation inside the parentheses on the right side of the first equation. 12g = 12((2/3)g - 1) + 11 We distribute the 12 to both terms inside the parentheses. 12g = 12 * (2/3)g - 12 * 1 + 11Distribute 12 to terms inside parentheses: Continue simplifying the right side of the equation. 12g = 8g - 12 + 11 Now, combine like terms on the right side. 12g = 8g - 1Combine like terms on the right side: Isolate the variable g on one side of the equation. To do this, we subtract 8g from both sides of the equation. 12g - 8g = 8g - 8g - 1 4g = -1Isolate variable g on one side: Solve for g by dividing both sides of the equation by 4. 4g / 4 = -1 / 4 g = -1/4

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Solve for
g.
Give an exact answer.

{:[12 g=12((2)/(3)g-1)+11],[g=◻]:}

Solve for $g$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 12 g=12\left(\frac{2}{3} g-1\right)+11 \\ g=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

g

\newline

Give an exact answer.

\newline

\begin{array}{l} 12 g=12\left(\frac{2}{3} g-1\right)+11 \\ g=\square \end{array}

Simplify equation inside parentheses: Simplify the equation inside the parentheses on the right side of the first equation. $\newline$ $12g = 12\left(\frac{2}{3}g - 1\right) + 11$ $\newline$ We distribute the $12$ to both terms inside the parentheses. $\newline$ $12g = 12 \cdot \frac{2}{3}g - 12 \cdot 1 + 11$
Distribute $12$ to terms inside parentheses: Continue simplifying the right side of the equation. $\newline$ $12g = 8g - 12 + 11$ $\newline$ Now, combine like terms on the right side. $\newline$ $12g = 8g - 1$
Combine like terms on the right side: Isolate the variable $g$ on one side of the equation. $\newline$ To do this, we subtract $8g$ from both sides of the equation. $\newline$ $12g - 8g = 8g - 8g - 1$ $\newline$ $4g = -1$
Isolate variable $g$ on one side: Solve for $g$ by dividing both sides of the equation by $4$ .
$\frac{4g}{4} = \frac{-1}{4}$
$g = -\frac{1}{4}$