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Simplifying 8m + -13 = 5m + 12 Reorder the terms: -13 + 8m = 5m + 12 Reorder the terms: -13 + 8m = 12 + 5m Solving -13 + 8m = 12 + 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. -13 + 8m + -5m = 12 + 5m + -5m Combine like terms: 8m + -5m = 3m -13 + 3m = 12 + 5m + -5m Combine like terms: 5m + -5m = 0 -13 + 3m = 12 + 0 -13 + 3m = 12 Add '13' to each side of the equation. -13 + 13 + 3m = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 3m = 12 + 13 3m = 12 + 13 Combine like terms: 12 + 13 = 25 3m = 25 Divide each side by '3'. m = 8.333333333 Simplifying m = 8.333333333
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