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Simplifying 262.68 = 6(0.07m + 29.80 + 0.30(29.8)) Multiply 0.30 * 29.8 262.68 = 6(0.07m + 29.80 + 8.94) Reorder the terms: 262.68 = 6(29.80 + 8.94 + 0.07m) Combine like terms: 29.80 + 8.94 = 38.74 262.68 = 6(38.74 + 0.07m) 262.68 = (38.74 * 6 + 0.07m * 6) 262.68 = (232.44 + 0.42m) Solving 262.68 = 232.44 + 0.42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.42m' to each side of the equation. 262.68 + -0.42m = 232.44 + 0.42m + -0.42m Combine like terms: 0.42m + -0.42m = 0.00 262.68 + -0.42m = 232.44 + 0.00 262.68 + -0.42m = 232.44 Add '-262.68' to each side of the equation. 262.68 + -262.68 + -0.42m = 232.44 + -262.68 Combine like terms: 262.68 + -262.68 = 0.00 0.00 + -0.42m = 232.44 + -262.68 -0.42m = 232.44 + -262.68 Combine like terms: 232.44 + -262.68 = -30.24 -0.42m = -30.24 Divide each side by '-0.42'. m = 72 Simplifying m = 72
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