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Simplifying 159.7 = 5(0.05m + 21.8 + 0.3(21.8)) Multiply 0.3 * 21.8 159.7 = 5(0.05m + 21.8 + 6.54) Reorder the terms: 159.7 = 5(21.8 + 6.54 + 0.05m) Combine like terms: 21.8 + 6.54 = 28.34 159.7 = 5(28.34 + 0.05m) 159.7 = (28.34 * 5 + 0.05m * 5) 159.7 = (141.7 + 0.25m) Solving 159.7 = 141.7 + 0.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25m' to each side of the equation. 159.7 + -0.25m = 141.7 + 0.25m + -0.25m Combine like terms: 0.25m + -0.25m = 0.00 159.7 + -0.25m = 141.7 + 0.00 159.7 + -0.25m = 141.7 Add '-159.7' to each side of the equation. 159.7 + -159.7 + -0.25m = 141.7 + -159.7 Combine like terms: 159.7 + -159.7 = 0.0 0.0 + -0.25m = 141.7 + -159.7 -0.25m = 141.7 + -159.7 Combine like terms: 141.7 + -159.7 = -18 -0.25m = -18 Divide each side by '-0.25'. m = 72 Simplifying m = 72
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