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Simplifying -5(p + -9) = -19 + 4p Reorder the terms: -5(-9 + p) = -19 + 4p (-9 * -5 + p * -5) = -19 + 4p (45 + -5p) = -19 + 4p Solving 45 + -5p = -19 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 45 + -5p + -4p = -19 + 4p + -4p Combine like terms: -5p + -4p = -9p 45 + -9p = -19 + 4p + -4p Combine like terms: 4p + -4p = 0 45 + -9p = -19 + 0 45 + -9p = -19 Add '-45' to each side of the equation. 45 + -45 + -9p = -19 + -45 Combine like terms: 45 + -45 = 0 0 + -9p = -19 + -45 -9p = -19 + -45 Combine like terms: -19 + -45 = -64 -9p = -64 Divide each side by '-9'. p = 7.111111111 Simplifying p = 7.111111111
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