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Simplifying -9(m + 3) = -6(m + 8) Reorder the terms: -9(3 + m) = -6(m + 8) (3 * -9 + m * -9) = -6(m + 8) (-27 + -9m) = -6(m + 8) Reorder the terms: -27 + -9m = -6(8 + m) -27 + -9m = (8 * -6 + m * -6) -27 + -9m = (-48 + -6m) Solving -27 + -9m = -48 + -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. -27 + -9m + 6m = -48 + -6m + 6m Combine like terms: -9m + 6m = -3m -27 + -3m = -48 + -6m + 6m Combine like terms: -6m + 6m = 0 -27 + -3m = -48 + 0 -27 + -3m = -48 Add '27' to each side of the equation. -27 + 27 + -3m = -48 + 27 Combine like terms: -27 + 27 = 0 0 + -3m = -48 + 27 -3m = -48 + 27 Combine like terms: -48 + 27 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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