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Simplifying -112 = -8(3a + 8) Reorder the terms: -112 = -8(8 + 3a) -112 = (8 * -8 + 3a * -8) -112 = (-64 + -24a) Solving -112 = -64 + -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. -112 + 24a = -64 + -24a + 24a Combine like terms: -24a + 24a = 0 -112 + 24a = -64 + 0 -112 + 24a = -64 Add '112' to each side of the equation. -112 + 112 + 24a = -64 + 112 Combine like terms: -112 + 112 = 0 0 + 24a = -64 + 112 24a = -64 + 112 Combine like terms: -64 + 112 = 48 24a = 48 Divide each side by '24'. a = 2 Simplifying a = 2
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