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Simplifying (2p + 4) + 5(p + 1) + -1(p + 7) = 0 Reorder the terms: (4 + 2p) + 5(p + 1) + -1(p + 7) = 0 Remove parenthesis around (4 + 2p) 4 + 2p + 5(p + 1) + -1(p + 7) = 0 Reorder the terms: 4 + 2p + 5(1 + p) + -1(p + 7) = 0 4 + 2p + (1 * 5 + p * 5) + -1(p + 7) = 0 4 + 2p + (5 + 5p) + -1(p + 7) = 0 Reorder the terms: 4 + 2p + 5 + 5p + -1(7 + p) = 0 4 + 2p + 5 + 5p + (7 * -1 + p * -1) = 0 4 + 2p + 5 + 5p + (-7 + -1p) = 0 Reorder the terms: 4 + 5 + -7 + 2p + 5p + -1p = 0 Combine like terms: 4 + 5 = 9 9 + -7 + 2p + 5p + -1p = 0 Combine like terms: 9 + -7 = 2 2 + 2p + 5p + -1p = 0 Combine like terms: 2p + 5p = 7p 2 + 7p + -1p = 0 Combine like terms: 7p + -1p = 6p 2 + 6p = 0 Solving 2 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6p = 0 + -2 6p = 0 + -2 Combine like terms: 0 + -2 = -2 6p = -2 Divide each side by '6'. p = -0.3333333333 Simplifying p = -0.3333333333
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