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Simplifying -9(-2p + 5) = -9(p + -1) Reorder the terms: -9(5 + -2p) = -9(p + -1) (5 * -9 + -2p * -9) = -9(p + -1) (-45 + 18p) = -9(p + -1) Reorder the terms: -45 + 18p = -9(-1 + p) -45 + 18p = (-1 * -9 + p * -9) -45 + 18p = (9 + -9p) Solving -45 + 18p = 9 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -45 + 18p + 9p = 9 + -9p + 9p Combine like terms: 18p + 9p = 27p -45 + 27p = 9 + -9p + 9p Combine like terms: -9p + 9p = 0 -45 + 27p = 9 + 0 -45 + 27p = 9 Add '45' to each side of the equation. -45 + 45 + 27p = 9 + 45 Combine like terms: -45 + 45 = 0 0 + 27p = 9 + 45 27p = 9 + 45 Combine like terms: 9 + 45 = 54 27p = 54 Divide each side by '27'. p = 2 Simplifying p = 2
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