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Simplifying 9 + 10m + -7 = 8m + 9 + -5m Reorder the terms: 9 + -7 + 10m = 8m + 9 + -5m Combine like terms: 9 + -7 = 2 2 + 10m = 8m + 9 + -5m Reorder the terms: 2 + 10m = 9 + 8m + -5m Combine like terms: 8m + -5m = 3m 2 + 10m = 9 + 3m Solving 2 + 10m = 9 + 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. 2 + 10m + -3m = 9 + 3m + -3m Combine like terms: 10m + -3m = 7m 2 + 7m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 7m = 9 + 0 2 + 7m = 9 Add '-2' to each side of the equation. 2 + -2 + 7m = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7m = 9 + -2 7m = 9 + -2 Combine like terms: 9 + -2 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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