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Simplifying -9p + -4(5 + -4p) = 5(p + -5) + -19 -9p + (5 * -4 + -4p * -4) = 5(p + -5) + -19 -9p + (-20 + 16p) = 5(p + -5) + -19 Reorder the terms: -20 + -9p + 16p = 5(p + -5) + -19 Combine like terms: -9p + 16p = 7p -20 + 7p = 5(p + -5) + -19 Reorder the terms: -20 + 7p = 5(-5 + p) + -19 -20 + 7p = (-5 * 5 + p * 5) + -19 -20 + 7p = (-25 + 5p) + -19 Reorder the terms: -20 + 7p = -25 + -19 + 5p Combine like terms: -25 + -19 = -44 -20 + 7p = -44 + 5p Solving -20 + 7p = -44 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -20 + 7p + -5p = -44 + 5p + -5p Combine like terms: 7p + -5p = 2p -20 + 2p = -44 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 2p = -44 + 0 -20 + 2p = -44 Add '20' to each side of the equation. -20 + 20 + 2p = -44 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -44 + 20 2p = -44 + 20 Combine like terms: -44 + 20 = -24 2p = -24 Divide each side by '2'. p = -12 Simplifying p = -12
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