Question

solve the equation below. what’s the value of g? since 15g and 5 are both divisible by 5, you can continue rewriting this equation by dividing 15g + 5 by 5. do that now. \\(\frac{2(15g + 5)}{10} = -5g + 3\\) \\(\frac{15g + 5}{5} = -5g + 3\\) \\(\square = -5g + 3\\)

Explanation:

Step1: Apply the distributive property of division over addition

We know that $\frac{a + b}{c}=\frac{a}{c}+\frac{b}{c}$ (where $c
eq0$). So for $\frac{15g + 5}{5}$, we can split it as $\frac{15g}{5}+\frac{5}{5}$.

Step2: Simplify each term

Simplify $\frac{15g}{5}$: $15\div5 = 3$, so $\frac{15g}{5}=3g$.
Simplify $\frac{5}{5}$: $5\div5 = 1$, so $\frac{5}{5}=1$.
Then $\frac{15g}{5}+\frac{5}{5}=3g + 1$.

Answer:

$3g + 1$