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Simplifying 1000(7.32q + 14.78) = 100(3.95 + -4.26q) Reorder the terms: 1000(14.78 + 7.32q) = 100(3.95 + -4.26q) (14.78 * 1000 + 7.32q * 1000) = 100(3.95 + -4.26q) (14780 + 7320q) = 100(3.95 + -4.26q) 14780 + 7320q = (3.95 * 100 + -4.26q * 100) 14780 + 7320q = (395 + -426q) Solving 14780 + 7320q = 395 + -426q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '426q' to each side of the equation. 14780 + 7320q + 426q = 395 + -426q + 426q Combine like terms: 7320q + 426q = 7746q 14780 + 7746q = 395 + -426q + 426q Combine like terms: -426q + 426q = 0 14780 + 7746q = 395 + 0 14780 + 7746q = 395 Add '-14780' to each side of the equation. 14780 + -14780 + 7746q = 395 + -14780 Combine like terms: 14780 + -14780 = 0 0 + 7746q = 395 + -14780 7746q = 395 + -14780 Combine like terms: 395 + -14780 = -14385 7746q = -14385 Divide each side by '7746'. q = -1.857087529 Simplifying q = -1.857087529
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