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Simplifying -1(p + 2) = 2(p + -7) Reorder the terms: -1(2 + p) = 2(p + -7) (2 * -1 + p * -1) = 2(p + -7) (-2 + -1p) = 2(p + -7) Reorder the terms: -2 + -1p = 2(-7 + p) -2 + -1p = (-7 * 2 + p * 2) -2 + -1p = (-14 + 2p) Solving -2 + -1p = -14 + 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. -2 + -1p + -2p = -14 + 2p + -2p Combine like terms: -1p + -2p = -3p -2 + -3p = -14 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + -3p = -14 + 0 -2 + -3p = -14 Add '2' to each side of the equation. -2 + 2 + -3p = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -3p = -14 + 2 -3p = -14 + 2 Combine like terms: -14 + 2 = -12 -3p = -12 Divide each side by '-3'. p = 4 Simplifying p = 4
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