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Simplifying 0.25m + 40 = 0.45m + 25 Reorder the terms: 40 + 0.25m = 0.45m + 25 Reorder the terms: 40 + 0.25m = 25 + 0.45m Solving 40 + 0.25m = 25 + 0.45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.45m' to each side of the equation. 40 + 0.25m + -0.45m = 25 + 0.45m + -0.45m Combine like terms: 0.25m + -0.45m = -0.2m 40 + -0.2m = 25 + 0.45m + -0.45m Combine like terms: 0.45m + -0.45m = 0.00 40 + -0.2m = 25 + 0.00 40 + -0.2m = 25 Add '-40' to each side of the equation. 40 + -40 + -0.2m = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2m = 25 + -40 -0.2m = 25 + -40 Combine like terms: 25 + -40 = -15 -0.2m = -15 Divide each side by '-0.2'. m = 75 Simplifying m = 75
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