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