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Simplifying 291.24 = 9(0.04m + 22.80 + 0.30(22.80)) Multiply 0.30 * 22.80 291.24 = 9(0.04m + 22.80 + 6.84) Reorder the terms: 291.24 = 9(22.80 + 6.84 + 0.04m) Combine like terms: 22.80 + 6.84 = 29.64 291.24 = 9(29.64 + 0.04m) 291.24 = (29.64 * 9 + 0.04m * 9) 291.24 = (266.76 + 0.36m) Solving 291.24 = 266.76 + 0.36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.36m' to each side of the equation. 291.24 + -0.36m = 266.76 + 0.36m + -0.36m Combine like terms: 0.36m + -0.36m = 0.00 291.24 + -0.36m = 266.76 + 0.00 291.24 + -0.36m = 266.76 Add '-291.24' to each side of the equation. 291.24 + -291.24 + -0.36m = 266.76 + -291.24 Combine like terms: 291.24 + -291.24 = 0.00 0.00 + -0.36m = 266.76 + -291.24 -0.36m = 266.76 + -291.24 Combine like terms: 266.76 + -291.24 = -24.48 -0.36m = -24.48 Divide each side by '-0.36'. m = 68 Simplifying m = 68
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