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Simplifying 3(a + -1) + -9(a + -2) = -4(2a + 1) + -3 Reorder the terms: 3(-1 + a) + -9(a + -2) = -4(2a + 1) + -3 (-1 * 3 + a * 3) + -9(a + -2) = -4(2a + 1) + -3 (-3 + 3a) + -9(a + -2) = -4(2a + 1) + -3 Reorder the terms: -3 + 3a + -9(-2 + a) = -4(2a + 1) + -3 -3 + 3a + (-2 * -9 + a * -9) = -4(2a + 1) + -3 -3 + 3a + (18 + -9a) = -4(2a + 1) + -3 Reorder the terms: -3 + 18 + 3a + -9a = -4(2a + 1) + -3 Combine like terms: -3 + 18 = 15 15 + 3a + -9a = -4(2a + 1) + -3 Combine like terms: 3a + -9a = -6a 15 + -6a = -4(2a + 1) + -3 Reorder the terms: 15 + -6a = -4(1 + 2a) + -3 15 + -6a = (1 * -4 + 2a * -4) + -3 15 + -6a = (-4 + -8a) + -3 Reorder the terms: 15 + -6a = -4 + -3 + -8a Combine like terms: -4 + -3 = -7 15 + -6a = -7 + -8a Solving 15 + -6a = -7 + -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. 15 + -6a + 8a = -7 + -8a + 8a Combine like terms: -6a + 8a = 2a 15 + 2a = -7 + -8a + 8a Combine like terms: -8a + 8a = 0 15 + 2a = -7 + 0 15 + 2a = -7 Add '-15' to each side of the equation. 15 + -15 + 2a = -7 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = -7 + -15 2a = -7 + -15 Combine like terms: -7 + -15 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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