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Simplifying 20 + -4(p + 7) = 2(1 + -1p) Reorder the terms: 20 + -4(7 + p) = 2(1 + -1p) 20 + (7 * -4 + p * -4) = 2(1 + -1p) 20 + (-28 + -4p) = 2(1 + -1p) Combine like terms: 20 + -28 = -8 -8 + -4p = 2(1 + -1p) -8 + -4p = (1 * 2 + -1p * 2) -8 + -4p = (2 + -2p) Solving -8 + -4p = 2 + -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. -8 + -4p + 2p = 2 + -2p + 2p Combine like terms: -4p + 2p = -2p -8 + -2p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -8 + -2p = 2 + 0 -8 + -2p = 2 Add '8' to each side of the equation. -8 + 8 + -2p = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -2p = 2 + 8 -2p = 2 + 8 Combine like terms: 2 + 8 = 10 -2p = 10 Divide each side by '-2'. p = -5 Simplifying p = -5
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