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Simplifying (2p + 4) + (p + -1) + -1(p + 7) = 0 Reorder the terms: (4 + 2p) + (p + -1) + -1(p + 7) = 0 Remove parenthesis around (4 + 2p) 4 + 2p + (p + -1) + -1(p + 7) = 0 Reorder the terms: 4 + 2p + (-1 + p) + -1(p + 7) = 0 Remove parenthesis around (-1 + p) 4 + 2p + -1 + p + -1(p + 7) = 0 Reorder the terms: 4 + 2p + -1 + p + -1(7 + p) = 0 4 + 2p + -1 + p + (7 * -1 + p * -1) = 0 4 + 2p + -1 + p + (-7 + -1p) = 0 Reorder the terms: 4 + -1 + -7 + 2p + p + -1p = 0 Combine like terms: 4 + -1 = 3 3 + -7 + 2p + p + -1p = 0 Combine like terms: 3 + -7 = -4 -4 + 2p + p + -1p = 0 Combine like terms: 2p + p = 3p -4 + 3p + -1p = 0 Combine like terms: 3p + -1p = 2p -4 + 2p = 0 Solving -4 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = 0 + 4 2p = 0 + 4 Combine like terms: 0 + 4 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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