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Simplifying 42(5) + 0.08(m) = 25(5) + 0.25(m) Multiply 42 * 5 210 + 0.08(m) = 25(5) + 0.25(m) Multiply 25 * 5 210 + 0.08m = 125 + 0.25(m) Solving 210 + 0.08m = 125 + 0.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25m' to each side of the equation. 210 + 0.08m + -0.25m = 125 + 0.25m + -0.25m Combine like terms: 0.08m + -0.25m = -0.17m 210 + -0.17m = 125 + 0.25m + -0.25m Combine like terms: 0.25m + -0.25m = 0.00 210 + -0.17m = 125 + 0.00 210 + -0.17m = 125 Add '-210' to each side of the equation. 210 + -210 + -0.17m = 125 + -210 Combine like terms: 210 + -210 = 0 0 + -0.17m = 125 + -210 -0.17m = 125 + -210 Combine like terms: 125 + -210 = -85 -0.17m = -85 Divide each side by '-0.17'. m = 500 Simplifying m = 500
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