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Simplifying 9(2 + -1a) + -1(5a + 1) = 5(3 + -1a) + -10a (2 * 9 + -1a * 9) + -1(5a + 1) = 5(3 + -1a) + -10a (18 + -9a) + -1(5a + 1) = 5(3 + -1a) + -10a Reorder the terms: 18 + -9a + -1(1 + 5a) = 5(3 + -1a) + -10a 18 + -9a + (1 * -1 + 5a * -1) = 5(3 + -1a) + -10a 18 + -9a + (-1 + -5a) = 5(3 + -1a) + -10a Reorder the terms: 18 + -1 + -9a + -5a = 5(3 + -1a) + -10a Combine like terms: 18 + -1 = 17 17 + -9a + -5a = 5(3 + -1a) + -10a Combine like terms: -9a + -5a = -14a 17 + -14a = 5(3 + -1a) + -10a 17 + -14a = (3 * 5 + -1a * 5) + -10a 17 + -14a = (15 + -5a) + -10a Combine like terms: -5a + -10a = -15a 17 + -14a = 15 + -15a Solving 17 + -14a = 15 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 17 + -14a + 15a = 15 + -15a + 15a Combine like terms: -14a + 15a = 1a 17 + 1a = 15 + -15a + 15a Combine like terms: -15a + 15a = 0 17 + 1a = 15 + 0 17 + 1a = 15 Add '-17' to each side of the equation. 17 + -17 + 1a = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 1a = 15 + -17 1a = 15 + -17 Combine like terms: 15 + -17 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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