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Simplifying 247.20 = 8(0.06m + 21.80 + 0.20(21.80)) Multiply 0.20 * 21.80 247.20 = 8(0.06m + 21.80 + 4.36) Reorder the terms: 247.20 = 8(21.80 + 4.36 + 0.06m) Combine like terms: 21.80 + 4.36 = 26.16 247.20 = 8(26.16 + 0.06m) 247.20 = (26.16 * 8 + 0.06m * 8) 247.20 = (209.28 + 0.48m) Solving 247.20 = 209.28 + 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. 247.20 + -0.48m = 209.28 + 0.48m + -0.48m Combine like terms: 0.48m + -0.48m = 0.00 247.20 + -0.48m = 209.28 + 0.00 247.20 + -0.48m = 209.28 Add '-247.20' to each side of the equation. 247.20 + -247.20 + -0.48m = 209.28 + -247.20 Combine like terms: 247.20 + -247.20 = 0.00 0.00 + -0.48m = 209.28 + -247.20 -0.48m = 209.28 + -247.20 Combine like terms: 209.28 + -247.20 = -37.92 -0.48m = -37.92 Divide each side by '-0.48'. m = 79 Simplifying m = 79
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