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Simplifying 289.80 = 9(0.08m + 22.80 + 0.10(22.80)) Multiply 0.10 * 22.80 289.80 = 9(0.08m + 22.80 + 2.28) Reorder the terms: 289.80 = 9(22.80 + 2.28 + 0.08m) Combine like terms: 22.80 + 2.28 = 25.08 289.80 = 9(25.08 + 0.08m) 289.80 = (25.08 * 9 + 0.08m * 9) 289.80 = (225.72 + 0.72m) Solving 289.80 = 225.72 + 0.72m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.72m' to each side of the equation. 289.80 + -0.72m = 225.72 + 0.72m + -0.72m Combine like terms: 0.72m + -0.72m = 0.00 289.80 + -0.72m = 225.72 + 0.00 289.80 + -0.72m = 225.72 Add '-289.80' to each side of the equation. 289.80 + -289.80 + -0.72m = 225.72 + -289.80 Combine like terms: 289.80 + -289.80 = 0.00 0.00 + -0.72m = 225.72 + -289.80 -0.72m = 225.72 + -289.80 Combine like terms: 225.72 + -289.80 = -64.08 -0.72m = -64.08 Divide each side by '-0.72'. m = 89 Simplifying m = 89
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