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Simplifying 334.00 = 8(0.07m + 27.70 + 0.30(27.70)) Multiply 0.30 * 27.70 334.00 = 8(0.07m + 27.70 + 8.31) Reorder the terms: 334.00 = 8(27.70 + 8.31 + 0.07m) Combine like terms: 27.70 + 8.31 = 36.01 334.00 = 8(36.01 + 0.07m) 334.00 = (36.01 * 8 + 0.07m * 8) 334.00 = (288.08 + 0.56m) Solving 334.00 = 288.08 + 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. 334.00 + -0.56m = 288.08 + 0.56m + -0.56m Combine like terms: 0.56m + -0.56m = 0.00 334.00 + -0.56m = 288.08 + 0.00 334.00 + -0.56m = 288.08 Add '-334.00' to each side of the equation. 334.00 + -334.00 + -0.56m = 288.08 + -334.00 Combine like terms: 334.00 + -334.00 = 0.00 0.00 + -0.56m = 288.08 + -334.00 -0.56m = 288.08 + -334.00 Combine like terms: 288.08 + -334.00 = -45.92 -0.56m = -45.92 Divide each side by '-0.56'. m = 82 Simplifying m = 82
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