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Simplifying 7(3m + 8) = 5(2m + -1) Reorder the terms: 7(8 + 3m) = 5(2m + -1) (8 * 7 + 3m * 7) = 5(2m + -1) (56 + 21m) = 5(2m + -1) Reorder the terms: 56 + 21m = 5(-1 + 2m) 56 + 21m = (-1 * 5 + 2m * 5) 56 + 21m = (-5 + 10m) Solving 56 + 21m = -5 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 56 + 21m + -10m = -5 + 10m + -10m Combine like terms: 21m + -10m = 11m 56 + 11m = -5 + 10m + -10m Combine like terms: 10m + -10m = 0 56 + 11m = -5 + 0 56 + 11m = -5 Add '-56' to each side of the equation. 56 + -56 + 11m = -5 + -56 Combine like terms: 56 + -56 = 0 0 + 11m = -5 + -56 11m = -5 + -56 Combine like terms: -5 + -56 = -61 11m = -61 Divide each side by '11'. m = -5.545454545 Simplifying m = -5.545454545
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