Question

solve $2(5a - 1) + 7a = 13 - a$. $a = \frac{11}{18}$ $a = \frac{15}{17}$ $a = \frac{5}{6}$ $a = \frac{15}{16}$

Explanation:

Step1: Expand the left-hand side

$2(5a-1)+7a = 10a - 2 + 7a$

Step2: Combine like terms on left

$10a - 2 + 7a = 17a - 2$

Step3: Isolate variable terms

$17a + a = 13 + 2$

Step4: Combine like terms

$18a = 15$

Step5: Solve for $a$

$a = \frac{15}{18} = \frac{5}{6}$

Answer:

$\boldsymbol{a = \frac{5}{6}}$ (corresponding to the third option)