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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 = -3m -18 + -3m = -42 + -6m + 6m Combine like terms: -6m + 6m = 0 -18 + -3m = -42 + 0 -18 + -3m = -42 Add '18' to each side of the equation. -18 + 18 + -3m = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -3m = -42 + 18 -3m = -42 + 18 Combine like terms: -42 + 18 = -24 -3m = -24 Divide each side by '-3'. m = 8 Simplifying m = 8
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