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Simplifying 10000(7.38q + 14.76) = 1000(3.95 + -4.27q) Reorder the terms: 10000(14.76 + 7.38q) = 1000(3.95 + -4.27q) (14.76 * 10000 + 7.38q * 10000) = 1000(3.95 + -4.27q) (147600 + 73800q) = 1000(3.95 + -4.27q) 147600 + 73800q = (3.95 * 1000 + -4.27q * 1000) 147600 + 73800q = (3950 + -4270q) Solving 147600 + 73800q = 3950 + -4270q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4270q' to each side of the equation. 147600 + 73800q + 4270q = 3950 + -4270q + 4270q Combine like terms: 73800q + 4270q = 78070q 147600 + 78070q = 3950 + -4270q + 4270q Combine like terms: -4270q + 4270q = 0 147600 + 78070q = 3950 + 0 147600 + 78070q = 3950 Add '-147600' to each side of the equation. 147600 + -147600 + 78070q = 3950 + -147600 Combine like terms: 147600 + -147600 = 0 0 + 78070q = 3950 + -147600 78070q = 3950 + -147600 Combine like terms: 3950 + -147600 = -143650 78070q = -143650 Divide each side by '78070'. q = -1.840015371 Simplifying q = -1.840015371
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