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Simplifying 5(p + -7) = -9(3p + 11) Reorder the terms: 5(-7 + p) = -9(3p + 11) (-7 * 5 + p * 5) = -9(3p + 11) (-35 + 5p) = -9(3p + 11) Reorder the terms: -35 + 5p = -9(11 + 3p) -35 + 5p = (11 * -9 + 3p * -9) -35 + 5p = (-99 + -27p) Solving -35 + 5p = -99 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -35 + 5p + 27p = -99 + -27p + 27p Combine like terms: 5p + 27p = 32p -35 + 32p = -99 + -27p + 27p Combine like terms: -27p + 27p = 0 -35 + 32p = -99 + 0 -35 + 32p = -99 Add '35' to each side of the equation. -35 + 35 + 32p = -99 + 35 Combine like terms: -35 + 35 = 0 0 + 32p = -99 + 35 32p = -99 + 35 Combine like terms: -99 + 35 = -64 32p = -64 Divide each side by '32'. p = -2 Simplifying p = -2
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