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Simplifying 40(15 + 0.25m) = 45 + 0.35m (15 * 40 + 0.25m * 40) = 45 + 0.35m (600 + 10m) = 45 + 0.35m Solving 600 + 10m = 45 + 0.35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.35m' to each side of the equation. 600 + 10m + -0.35m = 45 + 0.35m + -0.35m Combine like terms: 10m + -0.35m = 9.65m 600 + 9.65m = 45 + 0.35m + -0.35m Combine like terms: 0.35m + -0.35m = 0.00 600 + 9.65m = 45 + 0.00 600 + 9.65m = 45 Add '-600' to each side of the equation. 600 + -600 + 9.65m = 45 + -600 Combine like terms: 600 + -600 = 0 0 + 9.65m = 45 + -600 9.65m = 45 + -600 Combine like terms: 45 + -600 = -555 9.65m = -555 Divide each side by '9.65'. m = -57.51295337 Simplifying m = -57.51295337
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