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Simplifying 243.30 = 6(0.08m + 26.70 + 0.30(26.70)) Multiply 0.30 * 26.70 243.30 = 6(0.08m + 26.70 + 8.01) Reorder the terms: 243.30 = 6(26.70 + 8.01 + 0.08m) Combine like terms: 26.70 + 8.01 = 34.71 243.30 = 6(34.71 + 0.08m) 243.30 = (34.71 * 6 + 0.08m * 6) 243.30 = (208.26 + 0.48m) Solving 243.30 = 208.26 + 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. 243.30 + -0.48m = 208.26 + 0.48m + -0.48m Combine like terms: 0.48m + -0.48m = 0.00 243.30 + -0.48m = 208.26 + 0.00 243.30 + -0.48m = 208.26 Add '-243.30' to each side of the equation. 243.30 + -243.30 + -0.48m = 208.26 + -243.30 Combine like terms: 243.30 + -243.30 = 0.00 0.00 + -0.48m = 208.26 + -243.30 -0.48m = 208.26 + -243.30 Combine like terms: 208.26 + -243.30 = -35.04 -0.48m = -35.04 Divide each side by '-0.48'. m = 73 Simplifying m = 73
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