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Simplifying 2(p + -4) = 4(1 + -1p) Reorder the terms: 2(-4 + p) = 4(1 + -1p) (-4 * 2 + p * 2) = 4(1 + -1p) (-8 + 2p) = 4(1 + -1p) -8 + 2p = (1 * 4 + -1p * 4) -8 + 2p = (4 + -4p) Solving -8 + 2p = 4 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -8 + 2p + 4p = 4 + -4p + 4p Combine like terms: 2p + 4p = 6p -8 + 6p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 -8 + 6p = 4 + 0 -8 + 6p = 4 Add '8' to each side of the equation. -8 + 8 + 6p = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 6p = 4 + 8 6p = 4 + 8 Combine like terms: 4 + 8 = 12 6p = 12 Divide each side by '6'. p = 2 Simplifying p = 2
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