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Simplifying -1p + 1q + 2(1p + 1q) + -1p + -1q = 0 -1p + 1q + (1p * 2 + 1q * 2) + -1p + -1q = 0 -1p + 1q + (2p + 2q) + -1p + -1q = 0 Reorder the terms: -1p + 2p + -1p + 1q + 2q + -1q = 0 Combine like terms: -1p + 2p = 1p 1p + -1p + 1q + 2q + -1q = 0 Combine like terms: 1p + -1p = 0 0 + 1q + 2q + -1q = 0 1q + 2q + -1q = 0 Combine like terms: 1q + 2q = 3q 3q + -1q = 0 Combine like terms: 3q + -1q = 2q 2q = 0 Solving 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '2'. q = 0 Simplifying q = 0
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