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Simplifying 8 + 2m + -1 = 5m + 13 + -2m Reorder the terms: 8 + -1 + 2m = 5m + 13 + -2m Combine like terms: 8 + -1 = 7 7 + 2m = 5m + 13 + -2m Reorder the terms: 7 + 2m = 13 + 5m + -2m Combine like terms: 5m + -2m = 3m 7 + 2m = 13 + 3m Solving 7 + 2m = 13 + 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. 7 + 2m + -3m = 13 + 3m + -3m Combine like terms: 2m + -3m = -1m 7 + -1m = 13 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + -1m = 13 + 0 7 + -1m = 13 Add '-7' to each side of the equation. 7 + -7 + -1m = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 13 + -7 -1m = 13 + -7 Combine like terms: 13 + -7 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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