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Simplifying 5 = 7(2 + -3m) + -8(-4m + 8) 5 = (2 * 7 + -3m * 7) + -8(-4m + 8) 5 = (14 + -21m) + -8(-4m + 8) Reorder the terms: 5 = 14 + -21m + -8(8 + -4m) 5 = 14 + -21m + (8 * -8 + -4m * -8) 5 = 14 + -21m + (-64 + 32m) Reorder the terms: 5 = 14 + -64 + -21m + 32m Combine like terms: 14 + -64 = -50 5 = -50 + -21m + 32m Combine like terms: -21m + 32m = 11m 5 = -50 + 11m Solving 5 = -50 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 5 + -11m = -50 + 11m + -11m Combine like terms: 11m + -11m = 0 5 + -11m = -50 + 0 5 + -11m = -50 Add '-5' to each side of the equation. 5 + -5 + -11m = -50 + -5 Combine like terms: 5 + -5 = 0 0 + -11m = -50 + -5 -11m = -50 + -5 Combine like terms: -50 + -5 = -55 -11m = -55 Divide each side by '-11'. m = 5 Simplifying m = 5
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