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Simplifying 238.70 = 5(0.09m + 30.70 + 0.30(30.70)) Multiply 0.30 * 30.70 238.70 = 5(0.09m + 30.70 + 9.21) Reorder the terms: 238.70 = 5(30.70 + 9.21 + 0.09m) Combine like terms: 30.70 + 9.21 = 39.91 238.70 = 5(39.91 + 0.09m) 238.70 = (39.91 * 5 + 0.09m * 5) 238.70 = (199.55 + 0.45m) Solving 238.70 = 199.55 + 0.45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.45m' to each side of the equation. 238.70 + -0.45m = 199.55 + 0.45m + -0.45m Combine like terms: 0.45m + -0.45m = 0.00 238.70 + -0.45m = 199.55 + 0.00 238.70 + -0.45m = 199.55 Add '-238.70' to each side of the equation. 238.70 + -238.70 + -0.45m = 199.55 + -238.70 Combine like terms: 238.70 + -238.70 = 0.00 0.00 + -0.45m = 199.55 + -238.70 -0.45m = 199.55 + -238.70 Combine like terms: 199.55 + -238.70 = -39.15 -0.45m = -39.15 Divide each side by '-0.45'. m = 87 Simplifying m = 87
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