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Simplifying 231.12 = 6(0.08m + 27.70 + 0.20(27.70)) Multiply 0.20 * 27.70 231.12 = 6(0.08m + 27.70 + 5.54) Reorder the terms: 231.12 = 6(27.70 + 5.54 + 0.08m) Combine like terms: 27.70 + 5.54 = 33.24 231.12 = 6(33.24 + 0.08m) 231.12 = (33.24 * 6 + 0.08m * 6) 231.12 = (199.44 + 0.48m) Solving 231.12 = 199.44 + 0.48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.48m' to each side of the equation. 231.12 + -0.48m = 199.44 + 0.48m + -0.48m Combine like terms: 0.48m + -0.48m = 0.00 231.12 + -0.48m = 199.44 + 0.00 231.12 + -0.48m = 199.44 Add '-231.12' to each side of the equation. 231.12 + -231.12 + -0.48m = 199.44 + -231.12 Combine like terms: 231.12 + -231.12 = 0.00 0.00 + -0.48m = 199.44 + -231.12 -0.48m = 199.44 + -231.12 Combine like terms: 199.44 + -231.12 = -31.68 -0.48m = -31.68 Divide each side by '-0.48'. m = 66 Simplifying m = 66
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