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Simplifying -0.325(6000) + 0.8m = 0.05(6000 + m) Multiply -0.325 * 6000 -1950 + 0.8m = 0.05(6000 + m) -1950 + 0.8m = (6000 * 0.05 + m * 0.05) -1950 + 0.8m = (300 + 0.05m) Solving -1950 + 0.8m = 300 + 0.05m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.05m' to each side of the equation. -1950 + 0.8m + -0.05m = 300 + 0.05m + -0.05m Combine like terms: 0.8m + -0.05m = 0.75m -1950 + 0.75m = 300 + 0.05m + -0.05m Combine like terms: 0.05m + -0.05m = 0.00 -1950 + 0.75m = 300 + 0.00 -1950 + 0.75m = 300 Add '1950' to each side of the equation. -1950 + 1950 + 0.75m = 300 + 1950 Combine like terms: -1950 + 1950 = 0 0 + 0.75m = 300 + 1950 0.75m = 300 + 1950 Combine like terms: 300 + 1950 = 2250 0.75m = 2250 Divide each side by '0.75'. m = 3000 Simplifying m = 3000
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