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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 = -46m 45 + -46m = -14 + 28m + -28m Combine like terms: 28m + -28m = 0 45 + -46m = -14 + 0 45 + -46m = -14 Add '-45' to each side of the equation. 45 + -45 + -46m = -14 + -45 Combine like terms: 45 + -45 = 0 0 + -46m = -14 + -45 -46m = -14 + -45 Combine like terms: -14 + -45 = -59 -46m = -59 Divide each side by '-46'. m = 1.282608696 Simplifying m = 1.282608696
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