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Simplifying -1(p + 7) = 5 + -2(p + 2) Reorder the terms: -1(7 + p) = 5 + -2(p + 2) (7 * -1 + p * -1) = 5 + -2(p + 2) (-7 + -1p) = 5 + -2(p + 2) Reorder the terms: -7 + -1p = 5 + -2(2 + p) -7 + -1p = 5 + (2 * -2 + p * -2) -7 + -1p = 5 + (-4 + -2p) Combine like terms: 5 + -4 = 1 -7 + -1p = 1 + -2p Solving -7 + -1p = 1 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -7 + -1p + 2p = 1 + -2p + 2p Combine like terms: -1p + 2p = 1p -7 + 1p = 1 + -2p + 2p Combine like terms: -2p + 2p = 0 -7 + 1p = 1 + 0 -7 + 1p = 1 Add '7' to each side of the equation. -7 + 7 + 1p = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = 1 + 7 1p = 1 + 7 Combine like terms: 1 + 7 = 8 1p = 8 Divide each side by '1'. p = 8 Simplifying p = 8
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