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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 = -1 -1 + -7 + 2p + 5p + -1p = 0 Combine like terms: -1 + -7 = -8 -8 + 2p + 5p + -1p = 0 Combine like terms: 2p + 5p = 7p -8 + 7p + -1p = 0 Combine like terms: 7p + -1p = 6p -8 + 6p = 0 Solving -8 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6p = 0 + 8 6p = 0 + 8 Combine like terms: 0 + 8 = 8 6p = 8 Divide each side by '6'. p = 1.333333333 Simplifying p = 1.333333333
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