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Simplifying 6 + 5m = 4m + 32 + -2m Reorder the terms: 6 + 5m = 32 + 4m + -2m Combine like terms: 4m + -2m = 2m 6 + 5m = 32 + 2m Solving 6 + 5m = 32 + 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. 6 + 5m + -2m = 32 + 2m + -2m Combine like terms: 5m + -2m = 3m 6 + 3m = 32 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + 3m = 32 + 0 6 + 3m = 32 Add '-6' to each side of the equation. 6 + -6 + 3m = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 3m = 32 + -6 3m = 32 + -6 Combine like terms: 32 + -6 = 26 3m = 26 Divide each side by '3'. m = 8.666666667 Simplifying m = 8.666666667
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