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Simplifying 1000(7.46q + 14.74) = 100(3.93 + -4.25q) Reorder the terms: 1000(14.74 + 7.46q) = 100(3.93 + -4.25q) (14.74 * 1000 + 7.46q * 1000) = 100(3.93 + -4.25q) (14740 + 7460q) = 100(3.93 + -4.25q) 14740 + 7460q = (3.93 * 100 + -4.25q * 100) 14740 + 7460q = (393 + -425q) Solving 14740 + 7460q = 393 + -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. 14740 + 7460q + 425q = 393 + -425q + 425q Combine like terms: 7460q + 425q = 7885q 14740 + 7885q = 393 + -425q + 425q Combine like terms: -425q + 425q = 0 14740 + 7885q = 393 + 0 14740 + 7885q = 393 Add '-14740' to each side of the equation. 14740 + -14740 + 7885q = 393 + -14740 Combine like terms: 14740 + -14740 = 0 0 + 7885q = 393 + -14740 7885q = 393 + -14740 Combine like terms: 393 + -14740 = -14347 7885q = -14347 Divide each side by '7885'. q = -1.819530755 Simplifying q = -1.819530755
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