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Simplifying 32 + 3m = 7m + 24 Reorder the terms: 32 + 3m = 24 + 7m Solving 32 + 3m = 24 + 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. 32 + 3m + -7m = 24 + 7m + -7m Combine like terms: 3m + -7m = -4m 32 + -4m = 24 + 7m + -7m Combine like terms: 7m + -7m = 0 32 + -4m = 24 + 0 32 + -4m = 24 Add '-32' to each side of the equation. 32 + -32 + -4m = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -4m = 24 + -32 -4m = 24 + -32 Combine like terms: 24 + -32 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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