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Simplifying 0.05x + 0.11(6 + -1m) = 0.08(6) 0.05x + (6 * 0.11 + -1m * 0.11) = 0.08(6) 0.05x + (0.66 + -0.11m) = 0.08(6) Reorder the terms: 0.66 + -0.11m + 0.05x = 0.08(6) Multiply 0.08 * 6 0.66 + -0.11m + 0.05x = 0.48 Solving 0.66 + -0.11m + 0.05x = 0.48 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.66' to each side of the equation. 0.66 + -0.11m + -0.66 + 0.05x = 0.48 + -0.66 Reorder the terms: 0.66 + -0.66 + -0.11m + 0.05x = 0.48 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + -0.11m + 0.05x = 0.48 + -0.66 -0.11m + 0.05x = 0.48 + -0.66 Combine like terms: 0.48 + -0.66 = -0.18 -0.11m + 0.05x = -0.18 Add '-0.05x' to each side of the equation. -0.11m + 0.05x + -0.05x = -0.18 + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.11m + 0.00 = -0.18 + -0.05x -0.11m = -0.18 + -0.05x Divide each side by '-0.11'. m = 1.636363636 + 0.4545454545x Simplifying m = 1.636363636 + 0.4545454545x
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