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Simplifying 4(p + -8) = 2(p + 2) Reorder the terms: 4(-8 + p) = 2(p + 2) (-8 * 4 + p * 4) = 2(p + 2) (-32 + 4p) = 2(p + 2) Reorder the terms: -32 + 4p = 2(2 + p) -32 + 4p = (2 * 2 + p * 2) -32 + 4p = (4 + 2p) Solving -32 + 4p = 4 + 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. -32 + 4p + -2p = 4 + 2p + -2p Combine like terms: 4p + -2p = 2p -32 + 2p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 -32 + 2p = 4 + 0 -32 + 2p = 4 Add '32' to each side of the equation. -32 + 32 + 2p = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 2p = 4 + 32 2p = 4 + 32 Combine like terms: 4 + 32 = 36 2p = 36 Divide each side by '2'. p = 18 Simplifying p = 18
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