Full solution

8=-6(a+2)

Distribute $-6$ : First, we need to distribute the $-6$ across the terms inside the parentheses. $\newline$ $-6 \times a + -6 \times 2 = -6a - 12$ $\newline$ Now the equation looks like this: $8 = -6a - 12$
Isolate variable 'a': Next, we need to isolate the variable 'a' on one side of the equation. To do this, we'll add $12$ to both sides of the equation to move the constant term from the right side to the left side. $\newline$ $8 + 12 = -6a - 12 + 12$ $\newline$ This simplifies to: $20 = -6a$
Divide by $-6$ : Now, we divide both sides of the equation by $-6$ to solve for $a$ . $\frac{20}{-6} = \frac{-6a}{-6}$ This simplifies to: $a = \frac{-20}{6}$
Simplify fraction: Finally, we can simplify the fraction $-\frac{20}{6}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $-\frac{20}{6} = \frac{-20/2}{6/2}$ This simplifies to: $a = -\frac{10}{3}$