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Simplifying 9 + 9m + -1 = 8m + 32 + -3m Reorder the terms: 9 + -1 + 9m = 8m + 32 + -3m Combine like terms: 9 + -1 = 8 8 + 9m = 8m + 32 + -3m Reorder the terms: 8 + 9m = 32 + 8m + -3m Combine like terms: 8m + -3m = 5m 8 + 9m = 32 + 5m Solving 8 + 9m = 32 + 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 + 9m + -5m = 32 + 5m + -5m Combine like terms: 9m + -5m = 4m 8 + 4m = 32 + 5m + -5m Combine like terms: 5m + -5m = 0 8 + 4m = 32 + 0 8 + 4m = 32 Add '-8' to each side of the equation. 8 + -8 + 4m = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = 32 + -8 4m = 32 + -8 Combine like terms: 32 + -8 = 24 4m = 24 Divide each side by '4'. m = 6 Simplifying m = 6
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