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Simplifying -8(a + -15) = -96 + -4a Reorder the terms: -8(-15 + a) = -96 + -4a (-15 * -8 + a * -8) = -96 + -4a (120 + -8a) = -96 + -4a Solving 120 + -8a = -96 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 120 + -8a + 4a = -96 + -4a + 4a Combine like terms: -8a + 4a = -4a 120 + -4a = -96 + -4a + 4a Combine like terms: -4a + 4a = 0 120 + -4a = -96 + 0 120 + -4a = -96 Add '-120' to each side of the equation. 120 + -120 + -4a = -96 + -120 Combine like terms: 120 + -120 = 0 0 + -4a = -96 + -120 -4a = -96 + -120 Combine like terms: -96 + -120 = -216 -4a = -216 Divide each side by '-4'. a = 54 Simplifying a = 54
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