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Simplifying 9(5 + -2m) = -7(4m + -2) (5 * 9 + -2m * 9) = -7(4m + -2) (45 + -18m) = -7(4m + -2) Reorder the terms: 45 + -18m = -7(-2 + 4m) 45 + -18m = (-2 * -7 + 4m * -7) 45 + -18m = (14 + -28m) Solving 45 + -18m = 14 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. 45 + -18m + 28m = 14 + -28m + 28m Combine like terms: -18m + 28m = 10m 45 + 10m = 14 + -28m + 28m Combine like terms: -28m + 28m = 0 45 + 10m = 14 + 0 45 + 10m = 14 Add '-45' to each side of the equation. 45 + -45 + 10m = 14 + -45 Combine like terms: 45 + -45 = 0 0 + 10m = 14 + -45 10m = 14 + -45 Combine like terms: 14 + -45 = -31 10m = -31 Divide each side by '10'. m = -3.1 Simplifying m = -3.1
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