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Simplifying 2m + -3 + 8 = 3m + -8 Reorder the terms: -3 + 8 + 2m = 3m + -8 Combine like terms: -3 + 8 = 5 5 + 2m = 3m + -8 Reorder the terms: 5 + 2m = -8 + 3m Solving 5 + 2m = -8 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 5 + 2m + -3m = -8 + 3m + -3m Combine like terms: 2m + -3m = -1m 5 + -1m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 5 + -1m = -8 + 0 5 + -1m = -8 Add '-5' to each side of the equation. 5 + -5 + -1m = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = -8 + -5 -1m = -8 + -5 Combine like terms: -8 + -5 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13
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