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Simplifying 3(a + 5) + 12a = -9(1 + -2a) Reorder the terms: 3(5 + a) + 12a = -9(1 + -2a) (5 * 3 + a * 3) + 12a = -9(1 + -2a) (15 + 3a) + 12a = -9(1 + -2a) Combine like terms: 3a + 12a = 15a 15 + 15a = -9(1 + -2a) 15 + 15a = (1 * -9 + -2a * -9) 15 + 15a = (-9 + 18a) Solving 15 + 15a = -9 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 15 + 15a + -18a = -9 + 18a + -18a Combine like terms: 15a + -18a = -3a 15 + -3a = -9 + 18a + -18a Combine like terms: 18a + -18a = 0 15 + -3a = -9 + 0 15 + -3a = -9 Add '-15' to each side of the equation. 15 + -15 + -3a = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -3a = -9 + -15 -3a = -9 + -15 Combine like terms: -9 + -15 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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