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Simplifying 6m + 8 = 2m + 32 Reorder the terms: 8 + 6m = 2m + 32 Reorder the terms: 8 + 6m = 32 + 2m Solving 8 + 6m = 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. 8 + 6m + -2m = 32 + 2m + -2m Combine like terms: 6m + -2m = 4m 8 + 4m = 32 + 2m + -2m Combine like terms: 2m + -2m = 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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