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