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Simplifying 4(a + 2) + -9(a + -1) = -4(2a + 6) + -7 Reorder the terms: 4(2 + a) + -9(a + -1) = -4(2a + 6) + -7 (2 * 4 + a * 4) + -9(a + -1) = -4(2a + 6) + -7 (8 + 4a) + -9(a + -1) = -4(2a + 6) + -7 Reorder the terms: 8 + 4a + -9(-1 + a) = -4(2a + 6) + -7 8 + 4a + (-1 * -9 + a * -9) = -4(2a + 6) + -7 8 + 4a + (9 + -9a) = -4(2a + 6) + -7 Reorder the terms: 8 + 9 + 4a + -9a = -4(2a + 6) + -7 Combine like terms: 8 + 9 = 17 17 + 4a + -9a = -4(2a + 6) + -7 Combine like terms: 4a + -9a = -5a 17 + -5a = -4(2a + 6) + -7 Reorder the terms: 17 + -5a = -4(6 + 2a) + -7 17 + -5a = (6 * -4 + 2a * -4) + -7 17 + -5a = (-24 + -8a) + -7 Reorder the terms: 17 + -5a = -24 + -7 + -8a Combine like terms: -24 + -7 = -31 17 + -5a = -31 + -8a Solving 17 + -5a = -31 + -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. 17 + -5a + 8a = -31 + -8a + 8a Combine like terms: -5a + 8a = 3a 17 + 3a = -31 + -8a + 8a Combine like terms: -8a + 8a = 0 17 + 3a = -31 + 0 17 + 3a = -31 Add '-17' to each side of the equation. 17 + -17 + 3a = -31 + -17 Combine like terms: 17 + -17 = 0 0 + 3a = -31 + -17 3a = -31 + -17 Combine like terms: -31 + -17 = -48 3a = -48 Divide each side by '3'. a = -16 Simplifying a = -16
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