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Simplifying 9 + 7m + -1 = 7m + 10 + -2m Reorder the terms: 9 + -1 + 7m = 7m + 10 + -2m Combine like terms: 9 + -1 = 8 8 + 7m = 7m + 10 + -2m Reorder the terms: 8 + 7m = 10 + 7m + -2m Combine like terms: 7m + -2m = 5m 8 + 7m = 10 + 5m Solving 8 + 7m = 10 + 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. 8 + 7m + -5m = 10 + 5m + -5m Combine like terms: 7m + -5m = 2m 8 + 2m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 8 + 2m = 10 + 0 8 + 2m = 10 Add '-8' to each side of the equation. 8 + -8 + 2m = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2m = 10 + -8 2m = 10 + -8 Combine like terms: 10 + -8 = 2 2m = 2 Divide each side by '2'. m = 1 Simplifying m = 1
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