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Simplifying 10m + 4 = 8m + 32 Reorder the terms: 4 + 10m = 8m + 32 Reorder the terms: 4 + 10m = 32 + 8m Solving 4 + 10m = 32 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 4 + 10m + -8m = 32 + 8m + -8m Combine like terms: 10m + -8m = 2m 4 + 2m = 32 + 8m + -8m Combine like terms: 8m + -8m = 0 4 + 2m = 32 + 0 4 + 2m = 32 Add '-4' to each side of the equation. 4 + -4 + 2m = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 2m = 32 + -4 2m = 32 + -4 Combine like terms: 32 + -4 = 28 2m = 28 Divide each side by '2'. m = 14 Simplifying m = 14
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