Solve for g. 5/3g = 2g - 2/3g + 2 g = ____

Combine Like Terms: First, we need to combine like terms on the right side of the equation. 5/3g = 2g - 2/3g + 2 To combine the g terms, we need a common denominator, which is 3g. 5/3g = (2*3/3)g - 2/3g + 2 5/3g = (6/3)g - 2/3g + 2 5/3g = (6/3 - 2/3)g + 2 5/3g = (4/3)g + 2Get G Terms Together: Next, we need to get all the g terms on one side of the equation to solve for g. Subtract (4/3)g from both sides to move the g terms to the left side. 5/3g - (4/3)g = (4/3)g - (4/3)g + 2 (5/3 - 4/3)g = 2 (1/3)g = 2Isolate and Solve for G: Now, we need to isolate g by multiplying both sides of the equation by the reciprocal of 1/3, which is 3. (1/3)g * 3 = 2 * 3 g = 6

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Solve for $g$ . $\newline$ $\frac{5}{3}g = 2g - \frac{2}{3}g + 2$ $\newline$ $g = \_\_\_$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

g

\newline

\frac{5}{3}g = 2g - \frac{2}{3}g + 2

\newline

g = \_\_\_

Combine Like Terms: First, we need to combine like terms on the right side of the equation. $\newline$ $\frac{5}{3}g = 2g - \frac{2}{3}g + 2$ $\newline$ To combine the $g$ terms, we need a common denominator, which is $3g$ . $\newline$ $\frac{5}{3}g = \left(2\cdot\frac{3}{3}\right)g - \frac{2}{3}g + 2$ $\newline$ $\frac{5}{3}g = \left(\frac{6}{3}\right)g - \frac{2}{3}g + 2$ $\newline$ $\frac{5}{3}g = \left(\frac{6}{3} - \frac{2}{3}\right)g + 2$ $\newline$ $\frac{5}{3}g = \left(\frac{4}{3}\right)g + 2$
Get G Terms Together: Next, we need to get all the $g$ terms on one side of the equation to solve for $g$ .
Subtract $(4/3)g$ from both sides to move the $g$ terms to the left side.
$\frac{5}{3}g - \frac{4}{3}g = \frac{4}{3}g - \frac{4}{3}g + 2$
$\left(\frac{5}{3} - \frac{4}{3}\right)g = 2$
$\frac{1}{3}g = 2$
Isolate and Solve for G: Now, we need to isolate $g$ by multiplying both sides of the equation by the reciprocal of $\frac{1}{3}$ , which is $3$ . $\left(\frac{1}{3}\right)g \times 3 = 2 \times 3$ $g = 6$