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Simplifying 5(2m + 5) = 5(4m + 1) Reorder the terms: 5(5 + 2m) = 5(4m + 1) (5 * 5 + 2m * 5) = 5(4m + 1) (25 + 10m) = 5(4m + 1) Reorder the terms: 25 + 10m = 5(1 + 4m) 25 + 10m = (1 * 5 + 4m * 5) 25 + 10m = (5 + 20m) Solving 25 + 10m = 5 + 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. 25 + 10m + -20m = 5 + 20m + -20m Combine like terms: 10m + -20m = -10m 25 + -10m = 5 + 20m + -20m Combine like terms: 20m + -20m = 0 25 + -10m = 5 + 0 25 + -10m = 5 Add '-25' to each side of the equation. 25 + -25 + -10m = 5 + -25 Combine like terms: 25 + -25 = 0 0 + -10m = 5 + -25 -10m = 5 + -25 Combine like terms: 5 + -25 = -20 -10m = -20 Divide each side by '-10'. m = 2 Simplifying m = 2
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