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Simplifying -8(2p + -8) + -6p = -32 + 2p Reorder the terms: -8(-8 + 2p) + -6p = -32 + 2p (-8 * -8 + 2p * -8) + -6p = -32 + 2p (64 + -16p) + -6p = -32 + 2p Combine like terms: -16p + -6p = -22p 64 + -22p = -32 + 2p Solving 64 + -22p = -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. 64 + -22p + -2p = -32 + 2p + -2p Combine like terms: -22p + -2p = -24p 64 + -24p = -32 + 2p + -2p Combine like terms: 2p + -2p = 0 64 + -24p = -32 + 0 64 + -24p = -32 Add '-64' to each side of the equation. 64 + -64 + -24p = -32 + -64 Combine like terms: 64 + -64 = 0 0 + -24p = -32 + -64 -24p = -32 + -64 Combine like terms: -32 + -64 = -96 -24p = -96 Divide each side by '-24'. p = 4 Simplifying p = 4
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