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Simplifying -216 = -6(4a + 8) Reorder the terms: -216 = -6(8 + 4a) -216 = (8 * -6 + 4a * -6) -216 = (-48 + -24a) Solving -216 = -48 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -216 + 24a = -48 + -24a + 24a Combine like terms: -24a + 24a = 0 -216 + 24a = -48 + 0 -216 + 24a = -48 Add '216' to each side of the equation. -216 + 216 + 24a = -48 + 216 Combine like terms: -216 + 216 = 0 0 + 24a = -48 + 216 24a = -48 + 216 Combine like terms: -48 + 216 = 168 24a = 168 Divide each side by '24'. a = 7 Simplifying a = 7
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