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Simplifying 32 + 2m = 6m + 12 Reorder the terms: 32 + 2m = 12 + 6m Solving 32 + 2m = 12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 32 + 2m + -6m = 12 + 6m + -6m Combine like terms: 2m + -6m = -4m 32 + -4m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 32 + -4m = 12 + 0 32 + -4m = 12 Add '-32' to each side of the equation. 32 + -32 + -4m = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4m = 12 + -32 -4m = 12 + -32 Combine like terms: 12 + -32 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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