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Simplifying -87 = -5(3a + 3) + 6a Reorder the terms: -87 = -5(3 + 3a) + 6a -87 = (3 * -5 + 3a * -5) + 6a -87 = (-15 + -15a) + 6a Combine like terms: -15a + 6a = -9a -87 = -15 + -9a Solving -87 = -15 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -87 + 9a = -15 + -9a + 9a Combine like terms: -9a + 9a = 0 -87 + 9a = -15 + 0 -87 + 9a = -15 Add '87' to each side of the equation. -87 + 87 + 9a = -15 + 87 Combine like terms: -87 + 87 = 0 0 + 9a = -15 + 87 9a = -15 + 87 Combine like terms: -15 + 87 = 72 9a = 72 Divide each side by '9'. a = 8 Simplifying a = 8
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