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Simplifying 4(5 + 2m) = 5 + 3(4m + 5) (5 * 4 + 2m * 4) = 5 + 3(4m + 5) (20 + 8m) = 5 + 3(4m + 5) Reorder the terms: 20 + 8m = 5 + 3(5 + 4m) 20 + 8m = 5 + (5 * 3 + 4m * 3) 20 + 8m = 5 + (15 + 12m) Combine like terms: 5 + 15 = 20 20 + 8m = 20 + 12m Add '-20' to each side of the equation. 20 + -20 + 8m = 20 + -20 + 12m Combine like terms: 20 + -20 = 0 0 + 8m = 20 + -20 + 12m 8m = 20 + -20 + 12m Combine like terms: 20 + -20 = 0 8m = 0 + 12m 8m = 12m Solving 8m = 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 8m + -12m = 12m + -12m Combine like terms: 8m + -12m = -4m -4m = 12m + -12m Combine like terms: 12m + -12m = 0 -4m = 0 Divide each side by '-4'. m = 0 Simplifying m = 0
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