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Simplifying 1000(7.38q + 14.74) = 100(3.94 + -4.26q) Reorder the terms: 1000(14.74 + 7.38q) = 100(3.94 + -4.26q) (14.74 * 1000 + 7.38q * 1000) = 100(3.94 + -4.26q) (14740 + 7380q) = 100(3.94 + -4.26q) 14740 + 7380q = (3.94 * 100 + -4.26q * 100) 14740 + 7380q = (394 + -426q) Solving 14740 + 7380q = 394 + -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. 14740 + 7380q + 426q = 394 + -426q + 426q Combine like terms: 7380q + 426q = 7806q 14740 + 7806q = 394 + -426q + 426q Combine like terms: -426q + 426q = 0 14740 + 7806q = 394 + 0 14740 + 7806q = 394 Add '-14740' to each side of the equation. 14740 + -14740 + 7806q = 394 + -14740 Combine like terms: 14740 + -14740 = 0 0 + 7806q = 394 + -14740 7806q = 394 + -14740 Combine like terms: 394 + -14740 = -14346 7806q = -14346 Divide each side by '7806'. q = -1.837817064 Simplifying q = -1.837817064
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