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Simplifying 0.13m + 0.07(5700 + -1n) = 0.08(5700) 0.13m + (5700 * 0.07 + -1n * 0.07) = 0.08(5700) 0.13m + (399 + -0.07n) = 0.08(5700) Reorder the terms: 399 + 0.13m + -0.07n = 0.08(5700) Multiply 0.08 * 5700 399 + 0.13m + -0.07n = 456 Solving 399 + 0.13m + -0.07n = 456 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-399' to each side of the equation. 399 + 0.13m + -399 + -0.07n = 456 + -399 Reorder the terms: 399 + -399 + 0.13m + -0.07n = 456 + -399 Combine like terms: 399 + -399 = 0 0 + 0.13m + -0.07n = 456 + -399 0.13m + -0.07n = 456 + -399 Combine like terms: 456 + -399 = 57 0.13m + -0.07n = 57 Add '0.07n' to each side of the equation. 0.13m + -0.07n + 0.07n = 57 + 0.07n Combine like terms: -0.07n + 0.07n = 0.00 0.13m + 0.00 = 57 + 0.07n 0.13m = 57 + 0.07n Divide each side by '0.13'. m = 438.4615385 + 0.5384615385n Simplifying m = 438.4615385 + 0.5384615385n
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