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Simplifying 0.007(8000) + 0.04 = 0.005(8000 + m) Multiply 0.007 * 8000 56 + 0.04 = 0.005(8000 + m) Combine like terms: 56 + 0.04 = 56.04 56.04 = 0.005(8000 + m) 56.04 = (8000 * 0.005 + m * 0.005) 56.04 = (40 + 0.005m) Solving 56.04 = 40 + 0.005m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.005m' to each side of the equation. 56.04 + -0.005m = 40 + 0.005m + -0.005m Combine like terms: 0.005m + -0.005m = 0.000 56.04 + -0.005m = 40 + 0.000 56.04 + -0.005m = 40 Add '-56.04' to each side of the equation. 56.04 + -56.04 + -0.005m = 40 + -56.04 Combine like terms: 56.04 + -56.04 = 0.00 0.00 + -0.005m = 40 + -56.04 -0.005m = 40 + -56.04 Combine like terms: 40 + -56.04 = -16.04 -0.005m = -16.04 Divide each side by '-0.005'. m = 3208 Simplifying m = 3208
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