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Simplifying 15(0.50 + m) = 25(0.25 + m) (0.50 * 15 + m * 15) = 25(0.25 + m) (7.5 + 15m) = 25(0.25 + m) 7.5 + 15m = (0.25 * 25 + m * 25) 7.5 + 15m = (6.25 + 25m) Solving 7.5 + 15m = 6.25 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. 7.5 + 15m + -25m = 6.25 + 25m + -25m Combine like terms: 15m + -25m = -10m 7.5 + -10m = 6.25 + 25m + -25m Combine like terms: 25m + -25m = 0 7.5 + -10m = 6.25 + 0 7.5 + -10m = 6.25 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -10m = 6.25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -10m = 6.25 + -7.5 -10m = 6.25 + -7.5 Combine like terms: 6.25 + -7.5 = -1.25 -10m = -1.25 Divide each side by '-10'. m = 0.125 Simplifying m = 0.125
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