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Simplifying 1000(7.34q + 14.78) = 100(3.91 + -4.21q) Reorder the terms: 1000(14.78 + 7.34q) = 100(3.91 + -4.21q) (14.78 * 1000 + 7.34q * 1000) = 100(3.91 + -4.21q) (14780 + 7340q) = 100(3.91 + -4.21q) 14780 + 7340q = (3.91 * 100 + -4.21q * 100) 14780 + 7340q = (391 + -421q) Solving 14780 + 7340q = 391 + -421q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '421q' to each side of the equation. 14780 + 7340q + 421q = 391 + -421q + 421q Combine like terms: 7340q + 421q = 7761q 14780 + 7761q = 391 + -421q + 421q Combine like terms: -421q + 421q = 0 14780 + 7761q = 391 + 0 14780 + 7761q = 391 Add '-14780' to each side of the equation. 14780 + -14780 + 7761q = 391 + -14780 Combine like terms: 14780 + -14780 = 0 0 + 7761q = 391 + -14780 7761q = 391 + -14780 Combine like terms: 391 + -14780 = -14389 7761q = -14389 Divide each side by '7761'. q = -1.854013658 Simplifying q = -1.854013658
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