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Simplifying -7(p + -5) = 2(p + 9) Reorder the terms: -7(-5 + p) = 2(p + 9) (-5 * -7 + p * -7) = 2(p + 9) (35 + -7p) = 2(p + 9) Reorder the terms: 35 + -7p = 2(9 + p) 35 + -7p = (9 * 2 + p * 2) 35 + -7p = (18 + 2p) Solving 35 + -7p = 18 + 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. 35 + -7p + -2p = 18 + 2p + -2p Combine like terms: -7p + -2p = -9p 35 + -9p = 18 + 2p + -2p Combine like terms: 2p + -2p = 0 35 + -9p = 18 + 0 35 + -9p = 18 Add '-35' to each side of the equation. 35 + -35 + -9p = 18 + -35 Combine like terms: 35 + -35 = 0 0 + -9p = 18 + -35 -9p = 18 + -35 Combine like terms: 18 + -35 = -17 -9p = -17 Divide each side by '-9'. p = 1.888888889 Simplifying p = 1.888888889
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