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