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