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Simplifying m * 0.20 + 75 = m * 0.35 Reorder the terms for easier multiplication: 0.20m + 75 = m * 0.35 Reorder the terms: 75 + 0.20m = m * 0.35 Reorder the terms for easier multiplication: 75 + 0.20m = 0.35m Solving 75 + 0.20m = 0.35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.35m' to each side of the equation. 75 + 0.20m + -0.35m = 0.35m + -0.35m Combine like terms: 0.20m + -0.35m = -0.15m 75 + -0.15m = 0.35m + -0.35m Combine like terms: 0.35m + -0.35m = 0.00 75 + -0.15m = 0.00 Add '-75' to each side of the equation. 75 + -75 + -0.15m = 0.00 + -75 Combine like terms: 75 + -75 = 0 0 + -0.15m = 0.00 + -75 -0.15m = 0.00 + -75 Combine like terms: 0.00 + -75 = -75 -0.15m = -75 Divide each side by '-0.15'. m = 500 Simplifying m = 500
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