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Simplifying 8(3m + 2) = 4(5m + 10) Reorder the terms: 8(2 + 3m) = 4(5m + 10) (2 * 8 + 3m * 8) = 4(5m + 10) (16 + 24m) = 4(5m + 10) Reorder the terms: 16 + 24m = 4(10 + 5m) 16 + 24m = (10 * 4 + 5m * 4) 16 + 24m = (40 + 20m) Solving 16 + 24m = 40 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 16 + 24m + -20m = 40 + 20m + -20m Combine like terms: 24m + -20m = 4m 16 + 4m = 40 + 20m + -20m Combine like terms: 20m + -20m = 0 16 + 4m = 40 + 0 16 + 4m = 40 Add '-16' to each side of the equation. 16 + -16 + 4m = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 4m = 40 + -16 4m = 40 + -16 Combine like terms: 40 + -16 = 24 4m = 24 Divide each side by '4'. m = 6 Simplifying m = 6
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