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Simplifying 5(a + -1) + -9(a + -2) = -3(2a + 1) + -2 Reorder the terms: 5(-1 + a) + -9(a + -2) = -3(2a + 1) + -2 (-1 * 5 + a * 5) + -9(a + -2) = -3(2a + 1) + -2 (-5 + 5a) + -9(a + -2) = -3(2a + 1) + -2 Reorder the terms: -5 + 5a + -9(-2 + a) = -3(2a + 1) + -2 -5 + 5a + (-2 * -9 + a * -9) = -3(2a + 1) + -2 -5 + 5a + (18 + -9a) = -3(2a + 1) + -2 Reorder the terms: -5 + 18 + 5a + -9a = -3(2a + 1) + -2 Combine like terms: -5 + 18 = 13 13 + 5a + -9a = -3(2a + 1) + -2 Combine like terms: 5a + -9a = -4a 13 + -4a = -3(2a + 1) + -2 Reorder the terms: 13 + -4a = -3(1 + 2a) + -2 13 + -4a = (1 * -3 + 2a * -3) + -2 13 + -4a = (-3 + -6a) + -2 Reorder the terms: 13 + -4a = -3 + -2 + -6a Combine like terms: -3 + -2 = -5 13 + -4a = -5 + -6a Solving 13 + -4a = -5 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 13 + -4a + 6a = -5 + -6a + 6a Combine like terms: -4a + 6a = 2a 13 + 2a = -5 + -6a + 6a Combine like terms: -6a + 6a = 0 13 + 2a = -5 + 0 13 + 2a = -5 Add '-13' to each side of the equation. 13 + -13 + 2a = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 2a = -5 + -13 2a = -5 + -13 Combine like terms: -5 + -13 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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