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Simplifying 8(12 + -1a) + 7a = 5(a + -6) (12 * 8 + -1a * 8) + 7a = 5(a + -6) (96 + -8a) + 7a = 5(a + -6) Combine like terms: -8a + 7a = -1a 96 + -1a = 5(a + -6) Reorder the terms: 96 + -1a = 5(-6 + a) 96 + -1a = (-6 * 5 + a * 5) 96 + -1a = (-30 + 5a) Solving 96 + -1a = -30 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 96 + -1a + -5a = -30 + 5a + -5a Combine like terms: -1a + -5a = -6a 96 + -6a = -30 + 5a + -5a Combine like terms: 5a + -5a = 0 96 + -6a = -30 + 0 96 + -6a = -30 Add '-96' to each side of the equation. 96 + -96 + -6a = -30 + -96 Combine like terms: 96 + -96 = 0 0 + -6a = -30 + -96 -6a = -30 + -96 Combine like terms: -30 + -96 = -126 -6a = -126 Divide each side by '-6'. a = 21 Simplifying a = 21
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