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Simplifying 5(35 + 0.10m) = 5(25 + 0.25m) (35 * 5 + 0.10m * 5) = 5(25 + 0.25m) (175 + 0.5m) = 5(25 + 0.25m) 175 + 0.5m = (25 * 5 + 0.25m * 5) 175 + 0.5m = (125 + 1.25m) Solving 175 + 0.5m = 125 + 1.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.25m' to each side of the equation. 175 + 0.5m + -1.25m = 125 + 1.25m + -1.25m Combine like terms: 0.5m + -1.25m = -0.75m 175 + -0.75m = 125 + 1.25m + -1.25m Combine like terms: 1.25m + -1.25m = 0.00 175 + -0.75m = 125 + 0.00 175 + -0.75m = 125 Add '-175' to each side of the equation. 175 + -175 + -0.75m = 125 + -175 Combine like terms: 175 + -175 = 0 0 + -0.75m = 125 + -175 -0.75m = 125 + -175 Combine like terms: 125 + -175 = -50 -0.75m = -50 Divide each side by '-0.75'. m = 66.66666667 Simplifying m = 66.66666667
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