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Simplifying -2(p + -2) = 32 + 2p Reorder the terms: -2(-2 + p) = 32 + 2p (-2 * -2 + p * -2) = 32 + 2p (4 + -2p) = 32 + 2p Solving 4 + -2p = 32 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4 + -2p + -2p = 32 + 2p + -2p Combine like terms: -2p + -2p = -4p 4 + -4p = 32 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + -4p = 32 + 0 4 + -4p = 32 Add '-4' to each side of the equation. 4 + -4 + -4p = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -4p = 32 + -4 -4p = 32 + -4 Combine like terms: 32 + -4 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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