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Simplifying 5q + 2p + 4 = 3q + -8 Reorder the terms: 4 + 2p + 5q = 3q + -8 Reorder the terms: 4 + 2p + 5q = -8 + 3q Solving 4 + 2p + 5q = -8 + 3q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2p + -4 + 5q = -8 + -4 + 3q Reorder the terms: 4 + -4 + 2p + 5q = -8 + -4 + 3q Combine like terms: 4 + -4 = 0 0 + 2p + 5q = -8 + -4 + 3q 2p + 5q = -8 + -4 + 3q Combine like terms: -8 + -4 = -12 2p + 5q = -12 + 3q Add '-5q' to each side of the equation. 2p + 5q + -5q = -12 + 3q + -5q Combine like terms: 5q + -5q = 0 2p + 0 = -12 + 3q + -5q 2p = -12 + 3q + -5q Combine like terms: 3q + -5q = -2q 2p = -12 + -2q Divide each side by '2'. p = -6 + -1q Simplifying p = -6 + -1q
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