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Simplifying 13 + 5m = 8m + -7(-3m + 5) Reorder the terms: 13 + 5m = 8m + -7(5 + -3m) 13 + 5m = 8m + (5 * -7 + -3m * -7) 13 + 5m = 8m + (-35 + 21m) Reorder the terms: 13 + 5m = -35 + 8m + 21m Combine like terms: 8m + 21m = 29m 13 + 5m = -35 + 29m Solving 13 + 5m = -35 + 29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29m' to each side of the equation. 13 + 5m + -29m = -35 + 29m + -29m Combine like terms: 5m + -29m = -24m 13 + -24m = -35 + 29m + -29m Combine like terms: 29m + -29m = 0 13 + -24m = -35 + 0 13 + -24m = -35 Add '-13' to each side of the equation. 13 + -13 + -24m = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -24m = -35 + -13 -24m = -35 + -13 Combine like terms: -35 + -13 = -48 -24m = -48 Divide each side by '-24'. m = 2 Simplifying m = 2
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