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Simplifying 8 + 5m + -7 = 9m + 7 + -2m Reorder the terms: 8 + -7 + 5m = 9m + 7 + -2m Combine like terms: 8 + -7 = 1 1 + 5m = 9m + 7 + -2m Reorder the terms: 1 + 5m = 7 + 9m + -2m Combine like terms: 9m + -2m = 7m 1 + 5m = 7 + 7m Solving 1 + 5m = 7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 1 + 5m + -7m = 7 + 7m + -7m Combine like terms: 5m + -7m = -2m 1 + -2m = 7 + 7m + -7m Combine like terms: 7m + -7m = 0 1 + -2m = 7 + 0 1 + -2m = 7 Add '-1' to each side of the equation. 1 + -1 + -2m = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 7 + -1 -2m = 7 + -1 Combine like terms: 7 + -1 = 6 -2m = 6 Divide each side by '-2'. m = -3 Simplifying m = -3
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