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Simplifying 2(8 + -7p) = 2p + -32 (8 * 2 + -7p * 2) = 2p + -32 (16 + -14p) = 2p + -32 Reorder the terms: 16 + -14p = -32 + 2p Solving 16 + -14p = -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. 16 + -14p + -2p = -32 + 2p + -2p Combine like terms: -14p + -2p = -16p 16 + -16p = -32 + 2p + -2p Combine like terms: 2p + -2p = 0 16 + -16p = -32 + 0 16 + -16p = -32 Add '-16' to each side of the equation. 16 + -16 + -16p = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -16p = -32 + -16 -16p = -32 + -16 Combine like terms: -32 + -16 = -48 -16p = -48 Divide each side by '-16'. p = 3 Simplifying p = 3
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