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Simplifying 32 = 8m + 20 + m + -8 + -4m Reorder the terms: 32 = 20 + -8 + 8m + m + -4m Combine like terms: 20 + -8 = 12 32 = 12 + 8m + m + -4m Combine like terms: 8m + m = 9m 32 = 12 + 9m + -4m Combine like terms: 9m + -4m = 5m 32 = 12 + 5m Solving 32 = 12 + 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. 32 + -5m = 12 + 5m + -5m Combine like terms: 5m + -5m = 0 32 + -5m = 12 + 0 32 + -5m = 12 Add '-32' to each side of the equation. 32 + -32 + -5m = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -5m = 12 + -32 -5m = 12 + -32 Combine like terms: 12 + -32 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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