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Simplifying 317.76 = 8(0.06m + 28.90 + 0.20(28.90)) Multiply 0.20 * 28.90 317.76 = 8(0.06m + 28.90 + 5.78) Reorder the terms: 317.76 = 8(28.90 + 5.78 + 0.06m) Combine like terms: 28.90 + 5.78 = 34.68 317.76 = 8(34.68 + 0.06m) 317.76 = (34.68 * 8 + 0.06m * 8) 317.76 = (277.44 + 0.48m) Solving 317.76 = 277.44 + 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. 317.76 + -0.48m = 277.44 + 0.48m + -0.48m Combine like terms: 0.48m + -0.48m = 0.00 317.76 + -0.48m = 277.44 + 0.00 317.76 + -0.48m = 277.44 Add '-317.76' to each side of the equation. 317.76 + -317.76 + -0.48m = 277.44 + -317.76 Combine like terms: 317.76 + -317.76 = 0.00 0.00 + -0.48m = 277.44 + -317.76 -0.48m = 277.44 + -317.76 Combine like terms: 277.44 + -317.76 = -40.32 -0.48m = -40.32 Divide each side by '-0.48'. m = 84 Simplifying m = 84
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