Question

10
solve: $-8a + 6(a - 6) > -3(10 - 8a)$

Explanation:

Step1: Expand both sides

$-8a + 6a - 36 > -30 + 24a$

Step2: Combine like terms left side

$-2a - 36 > -30 + 24a$

Step3: Move terms with $a$ to left

$-2a -24a - 36 > -30$

Step4: Combine like terms left side

$-26a - 36 > -30$

Step5: Move constant to right

$-26a > -30 + 36$

Step6: Simplify right side

$-26a > 6$

Step7: Divide by -26, reverse inequality

$a < \frac{6}{-26}$

Step8: Simplify the fraction

$a < -\frac{3}{13}$

Answer:

$a < -\frac{3}{13}$