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Simplifying -9(a + -2) = -3a + -5(a + -1) Reorder the terms: -9(-2 + a) = -3a + -5(a + -1) (-2 * -9 + a * -9) = -3a + -5(a + -1) (18 + -9a) = -3a + -5(a + -1) Reorder the terms: 18 + -9a = -3a + -5(-1 + a) 18 + -9a = -3a + (-1 * -5 + a * -5) 18 + -9a = -3a + (5 + -5a) Reorder the terms: 18 + -9a = 5 + -3a + -5a Combine like terms: -3a + -5a = -8a 18 + -9a = 5 + -8a Solving 18 + -9a = 5 + -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. 18 + -9a + 8a = 5 + -8a + 8a Combine like terms: -9a + 8a = -1a 18 + -1a = 5 + -8a + 8a Combine like terms: -8a + 8a = 0 18 + -1a = 5 + 0 18 + -1a = 5 Add '-18' to each side of the equation. 18 + -18 + -1a = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 5 + -18 -1a = 5 + -18 Combine like terms: 5 + -18 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13
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