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Simplifying 3(5a + 6) = -102 Reorder the terms: 3(6 + 5a) = -102 (6 * 3 + 5a * 3) = -102 (18 + 15a) = -102 Solving 18 + 15a = -102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 15a = -102 + -18 Combine like terms: 18 + -18 = 0 0 + 15a = -102 + -18 15a = -102 + -18 Combine like terms: -102 + -18 = -120 15a = -120 Divide each side by '15'. a = -8 Simplifying a = -8
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