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Simplifying -1(4 + 3m) = 9(3 + -1m) (4 * -1 + 3m * -1) = 9(3 + -1m) (-4 + -3m) = 9(3 + -1m) -4 + -3m = (3 * 9 + -1m * 9) -4 + -3m = (27 + -9m) Solving -4 + -3m = 27 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -4 + -3m + 9m = 27 + -9m + 9m Combine like terms: -3m + 9m = 6m -4 + 6m = 27 + -9m + 9m Combine like terms: -9m + 9m = 0 -4 + 6m = 27 + 0 -4 + 6m = 27 Add '4' to each side of the equation. -4 + 4 + 6m = 27 + 4 Combine like terms: -4 + 4 = 0 0 + 6m = 27 + 4 6m = 27 + 4 Combine like terms: 27 + 4 = 31 6m = 31 Divide each side by '6'. m = 5.166666667 Simplifying m = 5.166666667
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