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Simplifying 9(1a + 2) = -42 + -1a Reorder the terms: 9(2 + 1a) = -42 + -1a (2 * 9 + 1a * 9) = -42 + -1a (18 + 9a) = -42 + -1a Solving 18 + 9a = -42 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 18 + 9a + a = -42 + -1a + a Combine like terms: 9a + a = 10a 18 + 10a = -42 + -1a + a Combine like terms: -1a + a = 0 18 + 10a = -42 + 0 18 + 10a = -42 Add '-18' to each side of the equation. 18 + -18 + 10a = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 10a = -42 + -18 10a = -42 + -18 Combine like terms: -42 + -18 = -60 10a = -60 Divide each side by '10'. a = -6 Simplifying a = -6
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