Distribute -6: First, we need to distribute the -6 across the terms inside the parentheses. -6 * a + -6 * 2 = -6a - 12 Now the equation looks like this: 8 = -6a - 12Isolate 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. 8 + 12 = -6a - 12 + 12 This simplifies to: 20 = -6aDivide by -6: Now, we divide both sides of the equation by -6 to solve for 'a'. 20 / -6 = -6a / -6 This simplifies to: a = -20/6Simplify fraction: Finally, we can simplify the fraction -20/6 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. -20/6 = (-20/2) / (6/2) This simplifies to: a = -10/3

Grade 7

Add and subtract fractions

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: $a = -\frac{10}{3}$