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Simplifying 1000(7.46q + 14.74) = 100(3.95 + -4.28q) Reorder the terms: 1000(14.74 + 7.46q) = 100(3.95 + -4.28q) (14.74 * 1000 + 7.46q * 1000) = 100(3.95 + -4.28q) (14740 + 7460q) = 100(3.95 + -4.28q) 14740 + 7460q = (3.95 * 100 + -4.28q * 100) 14740 + 7460q = (395 + -428q) Solving 14740 + 7460q = 395 + -428q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '428q' to each side of the equation. 14740 + 7460q + 428q = 395 + -428q + 428q Combine like terms: 7460q + 428q = 7888q 14740 + 7888q = 395 + -428q + 428q Combine like terms: -428q + 428q = 0 14740 + 7888q = 395 + 0 14740 + 7888q = 395 Add '-14740' to each side of the equation. 14740 + -14740 + 7888q = 395 + -14740 Combine like terms: 14740 + -14740 = 0 0 + 7888q = 395 + -14740 7888q = 395 + -14740 Combine like terms: 395 + -14740 = -14345 7888q = -14345 Divide each side by '7888'. q = -1.818585193 Simplifying q = -1.818585193
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