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Simplifying q(2 + r) + -4r + 1 = 0 (2 * q + r * q) + -4r + 1 = 0 (2q + qr) + -4r + 1 = 0 Reorder the terms: 1 + 2q + qr + -4r = 0 Solving 1 + 2q + qr + -4r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2q + qr + -1 + -4r = 0 + -1 Reorder the terms: 1 + -1 + 2q + qr + -4r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2q + qr + -4r = 0 + -1 2q + qr + -4r = 0 + -1 Combine like terms: 0 + -1 = -1 2q + qr + -4r = -1 Add '4r' to each side of the equation. 2q + qr + -4r + 4r = -1 + 4r Combine like terms: -4r + 4r = 0 2q + qr + 0 = -1 + 4r 2q + qr = -1 + 4r Reorder the terms: 1 + 2q + qr + -4r = -1 + 4r + 1 + -4r Reorder the terms: 1 + 2q + qr + -4r = -1 + 1 + 4r + -4r Combine like terms: -1 + 1 = 0 1 + 2q + qr + -4r = 0 + 4r + -4r 1 + 2q + qr + -4r = 4r + -4r Combine like terms: 4r + -4r = 0 1 + 2q + qr + -4r = 0 The solution to this equation could not be determined.
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