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Simplifying 7(-3m + 5) = 3(10 + -6m) Reorder the terms: 7(5 + -3m) = 3(10 + -6m) (5 * 7 + -3m * 7) = 3(10 + -6m) (35 + -21m) = 3(10 + -6m) 35 + -21m = (10 * 3 + -6m * 3) 35 + -21m = (30 + -18m) Solving 35 + -21m = 30 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 35 + -21m + 18m = 30 + -18m + 18m Combine like terms: -21m + 18m = -3m 35 + -3m = 30 + -18m + 18m Combine like terms: -18m + 18m = 0 35 + -3m = 30 + 0 35 + -3m = 30 Add '-35' to each side of the equation. 35 + -35 + -3m = 30 + -35 Combine like terms: 35 + -35 = 0 0 + -3m = 30 + -35 -3m = 30 + -35 Combine like terms: 30 + -35 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667
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