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Simplifying 3(3q + -400) + 25000 = 4(400q + 23) + -127 Reorder the terms: 3(-400 + 3q) + 25000 = 4(400q + 23) + -127 (-400 * 3 + 3q * 3) + 25000 = 4(400q + 23) + -127 (-1200 + 9q) + 25000 = 4(400q + 23) + -127 Reorder the terms: -1200 + 25000 + 9q = 4(400q + 23) + -127 Combine like terms: -1200 + 25000 = 23800 23800 + 9q = 4(400q + 23) + -127 Reorder the terms: 23800 + 9q = 4(23 + 400q) + -127 23800 + 9q = (23 * 4 + 400q * 4) + -127 23800 + 9q = (92 + 1600q) + -127 Reorder the terms: 23800 + 9q = 92 + -127 + 1600q Combine like terms: 92 + -127 = -35 23800 + 9q = -35 + 1600q Solving 23800 + 9q = -35 + 1600q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1600q' to each side of the equation. 23800 + 9q + -1600q = -35 + 1600q + -1600q Combine like terms: 9q + -1600q = -1591q 23800 + -1591q = -35 + 1600q + -1600q Combine like terms: 1600q + -1600q = 0 23800 + -1591q = -35 + 0 23800 + -1591q = -35 Add '-23800' to each side of the equation. 23800 + -23800 + -1591q = -35 + -23800 Combine like terms: 23800 + -23800 = 0 0 + -1591q = -35 + -23800 -1591q = -35 + -23800 Combine like terms: -35 + -23800 = -23835 -1591q = -23835 Divide each side by '-1591'. q = 14.98114393 Simplifying q = 14.98114393
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