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