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Simplifying 4(8m + 2) = 4(4 + 7m) Reorder the terms: 4(2 + 8m) = 4(4 + 7m) (2 * 4 + 8m * 4) = 4(4 + 7m) (8 + 32m) = 4(4 + 7m) 8 + 32m = (4 * 4 + 7m * 4) 8 + 32m = (16 + 28m) Solving 8 + 32m = 16 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. 8 + 32m + -28m = 16 + 28m + -28m Combine like terms: 32m + -28m = 4m 8 + 4m = 16 + 28m + -28m Combine like terms: 28m + -28m = 0 8 + 4m = 16 + 0 8 + 4m = 16 Add '-8' to each side of the equation. 8 + -8 + 4m = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = 16 + -8 4m = 16 + -8 Combine like terms: 16 + -8 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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