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Simplifying qr + 3 + 18r + -17r = 19 + 8 + 7 Reorder the terms: 3 + qr + 18r + -17r = 19 + 8 + 7 Combine like terms: 18r + -17r = 1r 3 + qr + 1r = 19 + 8 + 7 Combine like terms: 19 + 8 = 27 3 + qr + 1r = 27 + 7 Combine like terms: 27 + 7 = 34 3 + qr + 1r = 34 Solving 3 + qr + 1r = 34 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + qr + -3 + 1r = 34 + -3 Reorder the terms: 3 + -3 + qr + 1r = 34 + -3 Combine like terms: 3 + -3 = 0 0 + qr + 1r = 34 + -3 qr + 1r = 34 + -3 Combine like terms: 34 + -3 = 31 qr + 1r = 31 Add '-1r' to each side of the equation. qr + 1r + -1r = 31 + -1r Combine like terms: 1r + -1r = 0 qr + 0 = 31 + -1r qr = 31 + -1r Divide each side by 'r'. q = 31r-1 + -1 Simplifying q = 31r-1 + -1 Reorder the terms: q = -1 + 31r-1
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