Solve the equation.
-$$\frac { r } { 3 } + \frac { 6 } { 3 } = \frac { r } { 6 } + \frac { 8 } { 6 }$$
A) $\{ - 4 \}$
B) $\{ - 12 \}$
C) $\{ 3 \}$
D) $\{ 4 \}$

Question

Quizplus · Accepted Answer

First, simplify the equation: $\frac{r}{3} + 2 = \frac{r}{6} + \frac{4}{3}$. Multiply everything by 6 to clear the denominators: $2r + 12 = r + 8$. Solve for $r$ by subtracting $r$ and $12$ from both sides: $r = -4$.

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Solve the Equation $\frac { r } { 3 } + \frac { 6 } { 3 } = \frac { r } { 6 } + \frac { 8 } { 6 }$