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Simplifying -87 = -3(4a + 5) Reorder the terms: -87 = -3(5 + 4a) -87 = (5 * -3 + 4a * -3) -87 = (-15 + -12a) Solving -87 = -15 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -87 + 12a = -15 + -12a + 12a Combine like terms: -12a + 12a = 0 -87 + 12a = -15 + 0 -87 + 12a = -15 Add '87' to each side of the equation. -87 + 87 + 12a = -15 + 87 Combine like terms: -87 + 87 = 0 0 + 12a = -15 + 87 12a = -15 + 87 Combine like terms: -15 + 87 = 72 12a = 72 Divide each side by '12'. a = 6 Simplifying a = 6
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