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Simplifying 264.88 = 7(0.08m + 28.80 + 0.10(28.80)) Multiply 0.10 * 28.80 264.88 = 7(0.08m + 28.80 + 2.88) Reorder the terms: 264.88 = 7(28.80 + 2.88 + 0.08m) Combine like terms: 28.80 + 2.88 = 31.68 264.88 = 7(31.68 + 0.08m) 264.88 = (31.68 * 7 + 0.08m * 7) 264.88 = (221.76 + 0.56m) Solving 264.88 = 221.76 + 0.56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.56m' to each side of the equation. 264.88 + -0.56m = 221.76 + 0.56m + -0.56m Combine like terms: 0.56m + -0.56m = 0.00 264.88 + -0.56m = 221.76 + 0.00 264.88 + -0.56m = 221.76 Add '-264.88' to each side of the equation. 264.88 + -264.88 + -0.56m = 221.76 + -264.88 Combine like terms: 264.88 + -264.88 = 0.00 0.00 + -0.56m = 221.76 + -264.88 -0.56m = 221.76 + -264.88 Combine like terms: 221.76 + -264.88 = -43.12 -0.56m = -43.12 Divide each side by '-0.56'. m = 77 Simplifying m = 77
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