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Simplifying 347.28 = 8(0.04m + 30.90 + 0.30(30.90)) Multiply 0.30 * 30.90 347.28 = 8(0.04m + 30.90 + 9.27) Reorder the terms: 347.28 = 8(30.90 + 9.27 + 0.04m) Combine like terms: 30.90 + 9.27 = 40.17 347.28 = 8(40.17 + 0.04m) 347.28 = (40.17 * 8 + 0.04m * 8) 347.28 = (321.36 + 0.32m) Solving 347.28 = 321.36 + 0.32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.32m' to each side of the equation. 347.28 + -0.32m = 321.36 + 0.32m + -0.32m Combine like terms: 0.32m + -0.32m = 0.00 347.28 + -0.32m = 321.36 + 0.00 347.28 + -0.32m = 321.36 Add '-347.28' to each side of the equation. 347.28 + -347.28 + -0.32m = 321.36 + -347.28 Combine like terms: 347.28 + -347.28 = 0.00 0.00 + -0.32m = 321.36 + -347.28 -0.32m = 321.36 + -347.28 Combine like terms: 321.36 + -347.28 = -25.92 -0.32m = -25.92 Divide each side by '-0.32'. m = 81 Simplifying m = 81
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