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