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Simplifying 9(a + -1) + -13(a + -2) = 3(2a + 1) + -2 Reorder the terms: 9(-1 + a) + -13(a + -2) = 3(2a + 1) + -2 (-1 * 9 + a * 9) + -13(a + -2) = 3(2a + 1) + -2 (-9 + 9a) + -13(a + -2) = 3(2a + 1) + -2 Reorder the terms: -9 + 9a + -13(-2 + a) = 3(2a + 1) + -2 -9 + 9a + (-2 * -13 + a * -13) = 3(2a + 1) + -2 -9 + 9a + (26 + -13a) = 3(2a + 1) + -2 Reorder the terms: -9 + 26 + 9a + -13a = 3(2a + 1) + -2 Combine like terms: -9 + 26 = 17 17 + 9a + -13a = 3(2a + 1) + -2 Combine like terms: 9a + -13a = -4a 17 + -4a = 3(2a + 1) + -2 Reorder the terms: 17 + -4a = 3(1 + 2a) + -2 17 + -4a = (1 * 3 + 2a * 3) + -2 17 + -4a = (3 + 6a) + -2 Reorder the terms: 17 + -4a = 3 + -2 + 6a Combine like terms: 3 + -2 = 1 17 + -4a = 1 + 6a Solving 17 + -4a = 1 + 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. 17 + -4a + -6a = 1 + 6a + -6a Combine like terms: -4a + -6a = -10a 17 + -10a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 17 + -10a = 1 + 0 17 + -10a = 1 Add '-17' to each side of the equation. 17 + -17 + -10a = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -10a = 1 + -17 -10a = 1 + -17 Combine like terms: 1 + -17 = -16 -10a = -16 Divide each side by '-10'. a = 1.6 Simplifying a = 1.6
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