Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -10(5a - 7) + 2a = 17a + 5 + 70 + 2a = 17a + 5 + 70 = 17a + 5 + 70 = 5 -65a = a =

Explanation:

Step1: Distribute -10

$-10\times5a+(- 10)\times(-7)+2a = 17a + 5$, so $-50a+70 + 2a=17a + 5$.

Step2: Combine like - terms on left - hand side

$(-50a + 2a)+70=17a + 5$, which gives $-48a+70 = 17a+5$.

Step3: Subtract 17a from both sides

$-48a-17a + 70=17a-17a + 5$, so $-65a+70 = 5$.

Step4: Subtract 70 from both sides

$-65a+70 - 70=5 - 70$, resulting in $-65a=-65$.

Step5: Divide both sides by - 65

$a=\frac{-65}{-65}=1$.

Answer:

The missing term in the first blank is $-50a$; the steps are:

1. First blank: $-50a$ (from distributing -10 in $-10(5a - 7)$).
2. Combine like - terms on the left - hand side: Combine $-50a$ and $2a$ to get $-48a$.
3. Subtract 17a from both sides to get all the $a$ terms on one side.
4. Subtract 70 from both sides to isolate the term with $a$.
5. Divide both sides by - 65 to solve for $a$, and $a = 1$.