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Simplifying 9(m + 2) = -6(m + 7) Reorder the terms: 9(2 + m) = -6(m + 7) (2 * 9 + m * 9) = -6(m + 7) (18 + 9m) = -6(m + 7) Reorder the terms: 18 + 9m = -6(7 + m) 18 + 9m = (7 * -6 + m * -6) 18 + 9m = (-42 + -6m) Solving 18 + 9m = -42 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 18 + 9m + 6m = -42 + -6m + 6m Combine like terms: 9m + 6m = 15m 18 + 15m = -42 + -6m + 6m Combine like terms: -6m + 6m = 0 18 + 15m = -42 + 0 18 + 15m = -42 Add '-18' to each side of the equation. 18 + -18 + 15m = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 15m = -42 + -18 15m = -42 + -18 Combine like terms: -42 + -18 = -60 15m = -60 Divide each side by '15'. m = -4 Simplifying m = -4
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