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Simplifying 2p + 3q = 30 + pq Solving 2p + 3q = 30 + pq Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1pq' to each side of the equation. 2p + -1pq + 3q = 30 + pq + -1pq Combine like terms: pq + -1pq = 0 2p + -1pq + 3q = 30 + 0 2p + -1pq + 3q = 30 Add '-3q' to each side of the equation. 2p + -1pq + 3q + -3q = 30 + -3q Combine like terms: 3q + -3q = 0 2p + -1pq + 0 = 30 + -3q 2p + -1pq = 30 + -3q Reorder the terms: -30 + 2p + -1pq + 3q = 30 + -3q + -30 + 3q Reorder the terms: -30 + 2p + -1pq + 3q = 30 + -30 + -3q + 3q Combine like terms: 30 + -30 = 0 -30 + 2p + -1pq + 3q = 0 + -3q + 3q -30 + 2p + -1pq + 3q = -3q + 3q Combine like terms: -3q + 3q = 0 -30 + 2p + -1pq + 3q = 0 The solution to this equation could not be determined.
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