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Simplifying 2p + -1(p + 7) = 4p + 5 Reorder the terms: 2p + -1(7 + p) = 4p + 5 2p + (7 * -1 + p * -1) = 4p + 5 2p + (-7 + -1p) = 4p + 5 Reorder the terms: -7 + 2p + -1p = 4p + 5 Combine like terms: 2p + -1p = 1p -7 + 1p = 4p + 5 Reorder the terms: -7 + 1p = 5 + 4p Solving -7 + 1p = 5 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -7 + 1p + -4p = 5 + 4p + -4p Combine like terms: 1p + -4p = -3p -7 + -3p = 5 + 4p + -4p Combine like terms: 4p + -4p = 0 -7 + -3p = 5 + 0 -7 + -3p = 5 Add '7' to each side of the equation. -7 + 7 + -3p = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -3p = 5 + 7 -3p = 5 + 7 Combine like terms: 5 + 7 = 12 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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