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Simplifying 10000(7.39q + 14.77) = 1000(3.95 + -4.21q) Reorder the terms: 10000(14.77 + 7.39q) = 1000(3.95 + -4.21q) (14.77 * 10000 + 7.39q * 10000) = 1000(3.95 + -4.21q) (147700 + 73900q) = 1000(3.95 + -4.21q) 147700 + 73900q = (3.95 * 1000 + -4.21q * 1000) 147700 + 73900q = (3950 + -4210q) Solving 147700 + 73900q = 3950 + -4210q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4210q' to each side of the equation. 147700 + 73900q + 4210q = 3950 + -4210q + 4210q Combine like terms: 73900q + 4210q = 78110q 147700 + 78110q = 3950 + -4210q + 4210q Combine like terms: -4210q + 4210q = 0 147700 + 78110q = 3950 + 0 147700 + 78110q = 3950 Add '-147700' to each side of the equation. 147700 + -147700 + 78110q = 3950 + -147700 Combine like terms: 147700 + -147700 = 0 0 + 78110q = 3950 + -147700 78110q = 3950 + -147700 Combine like terms: 3950 + -147700 = -143750 78110q = -143750 Divide each side by '78110'. q = -1.840353348 Simplifying q = -1.840353348
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