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Simplifying 2p + 4(q + 2) = -32 Reorder the terms: 2p + 4(2 + q) = -32 2p + (2 * 4 + q * 4) = -32 2p + (8 + 4q) = -32 Reorder the terms: 8 + 2p + 4q = -32 Solving 8 + 2p + 4q = -32 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2p + -8 + 4q = -32 + -8 Reorder the terms: 8 + -8 + 2p + 4q = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 2p + 4q = -32 + -8 2p + 4q = -32 + -8 Combine like terms: -32 + -8 = -40 2p + 4q = -40 Add '-4q' to each side of the equation. 2p + 4q + -4q = -40 + -4q Combine like terms: 4q + -4q = 0 2p + 0 = -40 + -4q 2p = -40 + -4q Divide each side by '2'. p = -20 + -2q Simplifying p = -20 + -2q
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