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Simplifying 1000(7.48q + 14.76) = 100(3.91 + -4.25q) Reorder the terms: 1000(14.76 + 7.48q) = 100(3.91 + -4.25q) (14.76 * 1000 + 7.48q * 1000) = 100(3.91 + -4.25q) (14760 + 7480q) = 100(3.91 + -4.25q) 14760 + 7480q = (3.91 * 100 + -4.25q * 100) 14760 + 7480q = (391 + -425q) Solving 14760 + 7480q = 391 + -425q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '425q' to each side of the equation. 14760 + 7480q + 425q = 391 + -425q + 425q Combine like terms: 7480q + 425q = 7905q 14760 + 7905q = 391 + -425q + 425q Combine like terms: -425q + 425q = 0 14760 + 7905q = 391 + 0 14760 + 7905q = 391 Add '-14760' to each side of the equation. 14760 + -14760 + 7905q = 391 + -14760 Combine like terms: 14760 + -14760 = 0 0 + 7905q = 391 + -14760 7905q = 391 + -14760 Combine like terms: 391 + -14760 = -14369 7905q = -14369 Divide each side by '7905'. q = -1.81771031 Simplifying q = -1.81771031
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