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Simplifying 10560 = 4.40q + (8000 + -1q) * 0.20 Reorder the terms for easier multiplication: 10560 = 4.40q + 0.20(8000 + -1q) 10560 = 4.40q + (8000 * 0.20 + -1q * 0.20) 10560 = 4.40q + (1600 + -0.2q) Reorder the terms: 10560 = 1600 + 4.40q + -0.2q Combine like terms: 4.40q + -0.2q = 4.2q 10560 = 1600 + 4.2q Solving 10560 = 1600 + 4.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.2q' to each side of the equation. 10560 + -4.2q = 1600 + 4.2q + -4.2q Combine like terms: 4.2q + -4.2q = 0.0 10560 + -4.2q = 1600 + 0.0 10560 + -4.2q = 1600 Add '-10560' to each side of the equation. 10560 + -10560 + -4.2q = 1600 + -10560 Combine like terms: 10560 + -10560 = 0 0 + -4.2q = 1600 + -10560 -4.2q = 1600 + -10560 Combine like terms: 1600 + -10560 = -8960 -4.2q = -8960 Divide each side by '-4.2'. q = 2133.333333 Simplifying q = 2133.333333
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