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Simplifying 8 + -4(p + 2) = 2p + -8(p + 4) Reorder the terms: 8 + -4(2 + p) = 2p + -8(p + 4) 8 + (2 * -4 + p * -4) = 2p + -8(p + 4) 8 + (-8 + -4p) = 2p + -8(p + 4) Combine like terms: 8 + -8 = 0 0 + -4p = 2p + -8(p + 4) -4p = 2p + -8(p + 4) Reorder the terms: -4p = 2p + -8(4 + p) -4p = 2p + (4 * -8 + p * -8) -4p = 2p + (-32 + -8p) Reorder the terms: -4p = -32 + 2p + -8p Combine like terms: 2p + -8p = -6p -4p = -32 + -6p Solving -4p = -32 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -4p + 6p = -32 + -6p + 6p Combine like terms: -4p + 6p = 2p 2p = -32 + -6p + 6p Combine like terms: -6p + 6p = 0 2p = -32 + 0 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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