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Simplifying -1(a + 6) + 7 = 2(5 + 4a) Reorder the terms: -1(6 + a) + 7 = 2(5 + 4a) (6 * -1 + a * -1) + 7 = 2(5 + 4a) (-6 + -1a) + 7 = 2(5 + 4a) Reorder the terms: -6 + 7 + -1a = 2(5 + 4a) Combine like terms: -6 + 7 = 1 1 + -1a = 2(5 + 4a) 1 + -1a = (5 * 2 + 4a * 2) 1 + -1a = (10 + 8a) Solving 1 + -1a = 10 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 1 + -1a + -8a = 10 + 8a + -8a Combine like terms: -1a + -8a = -9a 1 + -9a = 10 + 8a + -8a Combine like terms: 8a + -8a = 0 1 + -9a = 10 + 0 1 + -9a = 10 Add '-1' to each side of the equation. 1 + -1 + -9a = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -9a = 10 + -1 -9a = 10 + -1 Combine like terms: 10 + -1 = 9 -9a = 9 Divide each side by '-9'. a = -1 Simplifying a = -1
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