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Simplifying -12(p + 9) = -9(2 + -2p) Reorder the terms: -12(9 + p) = -9(2 + -2p) (9 * -12 + p * -12) = -9(2 + -2p) (-108 + -12p) = -9(2 + -2p) -108 + -12p = (2 * -9 + -2p * -9) -108 + -12p = (-18 + 18p) Solving -108 + -12p = -18 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -108 + -12p + -18p = -18 + 18p + -18p Combine like terms: -12p + -18p = -30p -108 + -30p = -18 + 18p + -18p Combine like terms: 18p + -18p = 0 -108 + -30p = -18 + 0 -108 + -30p = -18 Add '108' to each side of the equation. -108 + 108 + -30p = -18 + 108 Combine like terms: -108 + 108 = 0 0 + -30p = -18 + 108 -30p = -18 + 108 Combine like terms: -18 + 108 = 90 -30p = 90 Divide each side by '-30'. p = -3 Simplifying p = -3
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