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Simplifying 0.02(4m + -3) = 0.05(10m + -9) Reorder the terms: 0.02(-3 + 4m) = 0.05(10m + -9) (-3 * 0.02 + 4m * 0.02) = 0.05(10m + -9) (-0.06 + 0.08m) = 0.05(10m + -9) Reorder the terms: -0.06 + 0.08m = 0.05(-9 + 10m) -0.06 + 0.08m = (-9 * 0.05 + 10m * 0.05) -0.06 + 0.08m = (-0.45 + 0.5m) Solving -0.06 + 0.08m = -0.45 + 0.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.5m' to each side of the equation. -0.06 + 0.08m + -0.5m = -0.45 + 0.5m + -0.5m Combine like terms: 0.08m + -0.5m = -0.42m -0.06 + -0.42m = -0.45 + 0.5m + -0.5m Combine like terms: 0.5m + -0.5m = 0.0 -0.06 + -0.42m = -0.45 + 0.0 -0.06 + -0.42m = -0.45 Add '0.06' to each side of the equation. -0.06 + 0.06 + -0.42m = -0.45 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + -0.42m = -0.45 + 0.06 -0.42m = -0.45 + 0.06 Combine like terms: -0.45 + 0.06 = -0.39 -0.42m = -0.39 Divide each side by '-0.42'. m = 0.9285714286 Simplifying m = 0.9285714286
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