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Simplifying 7 + 3m + -6 = 7m + 5 + -2m Reorder the terms: 7 + -6 + 3m = 7m + 5 + -2m Combine like terms: 7 + -6 = 1 1 + 3m = 7m + 5 + -2m Reorder the terms: 1 + 3m = 5 + 7m + -2m Combine like terms: 7m + -2m = 5m 1 + 3m = 5 + 5m Solving 1 + 3m = 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. 1 + 3m + -5m = 5 + 5m + -5m Combine like terms: 3m + -5m = -2m 1 + -2m = 5 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + -2m = 5 + 0 1 + -2m = 5 Add '-1' to each side of the equation. 1 + -1 + -2m = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 5 + -1 -2m = 5 + -1 Combine like terms: 5 + -1 = 4 -2m = 4 Divide each side by '-2'. m = -2 Simplifying m = -2
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