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Simplifying 0.05n(8 + q) + 0.25q = 5.20 (8 * 0.05n + q * 0.05n) + 0.25q = 5.20 (0.4n + 0.05nq) + 0.25q = 5.20 Solving 0.4n + 0.05nq + 0.25q = 5.20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.25q' to each side of the equation. 0.4n + 0.05nq + 0.25q + -0.25q = 5.20 + -0.25q Combine like terms: 0.25q + -0.25q = 0.00 0.4n + 0.05nq + 0.00 = 5.20 + -0.25q 0.4n + 0.05nq = 5.20 + -0.25q Reorder the terms: -5.20 + 0.4n + 0.05nq + 0.25q = 5.20 + -0.25q + -5.20 + 0.25q Reorder the terms: -5.20 + 0.4n + 0.05nq + 0.25q = 5.20 + -5.20 + -0.25q + 0.25q Combine like terms: 5.20 + -5.20 = 0.00 -5.20 + 0.4n + 0.05nq + 0.25q = 0.00 + -0.25q + 0.25q -5.20 + 0.4n + 0.05nq + 0.25q = -0.25q + 0.25q Combine like terms: -0.25q + 0.25q = 0.00 -5.20 + 0.4n + 0.05nq + 0.25q = 0.00 The solution to this equation could not be determined.
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