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Simplifying -5qr + -1r + 7s + -5 = 9r + -3s + 4 Reorder the terms: -5 + -5qr + -1r + 7s = 9r + -3s + 4 Reorder the terms: -5 + -5qr + -1r + 7s = 4 + 9r + -3s Solving -5 + -5qr + -1r + 7s = 4 + 9r + -3s Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -5qr + -1r + 5 + 7s = 4 + 9r + 5 + -3s Reorder the terms: -5 + 5 + -5qr + -1r + 7s = 4 + 9r + 5 + -3s Combine like terms: -5 + 5 = 0 0 + -5qr + -1r + 7s = 4 + 9r + 5 + -3s -5qr + -1r + 7s = 4 + 9r + 5 + -3s Reorder the terms: -5qr + -1r + 7s = 4 + 5 + 9r + -3s Combine like terms: 4 + 5 = 9 -5qr + -1r + 7s = 9 + 9r + -3s Add 'r' to each side of the equation. -5qr + -1r + r + 7s = 9 + 9r + r + -3s Combine like terms: -1r + r = 0 -5qr + 0 + 7s = 9 + 9r + r + -3s -5qr + 7s = 9 + 9r + r + -3s Combine like terms: 9r + r = 10r -5qr + 7s = 9 + 10r + -3s Add '-7s' to each side of the equation. -5qr + 7s + -7s = 9 + 10r + -3s + -7s Combine like terms: 7s + -7s = 0 -5qr + 0 = 9 + 10r + -3s + -7s -5qr = 9 + 10r + -3s + -7s Combine like terms: -3s + -7s = -10s -5qr = 9 + 10r + -10s Divide each side by '-5r'. q = -1.8r-1 + -2 + 2r-1s Simplifying q = -1.8r-1 + -2 + 2r-1s Reorder the terms: q = -2 + -1.8r-1 + 2r-1s
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