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Simplifying 8(a + 12) = 9(2a + -6) Reorder the terms: 8(12 + a) = 9(2a + -6) (12 * 8 + a * 8) = 9(2a + -6) (96 + 8a) = 9(2a + -6) Reorder the terms: 96 + 8a = 9(-6 + 2a) 96 + 8a = (-6 * 9 + 2a * 9) 96 + 8a = (-54 + 18a) Solving 96 + 8a = -54 + 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. 96 + 8a + -18a = -54 + 18a + -18a Combine like terms: 8a + -18a = -10a 96 + -10a = -54 + 18a + -18a Combine like terms: 18a + -18a = 0 96 + -10a = -54 + 0 96 + -10a = -54 Add '-96' to each side of the equation. 96 + -96 + -10a = -54 + -96 Combine like terms: 96 + -96 = 0 0 + -10a = -54 + -96 -10a = -54 + -96 Combine like terms: -54 + -96 = -150 -10a = -150 Divide each side by '-10'. a = 15 Simplifying a = 15
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