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Simplifying p + -1(p + 9) = 5(p + -5) + 3p Reorder the terms: p + -1(9 + p) = 5(p + -5) + 3p p + (9 * -1 + p * -1) = 5(p + -5) + 3p p + (-9 + -1p) = 5(p + -5) + 3p Reorder the terms: -9 + p + -1p = 5(p + -5) + 3p Combine like terms: p + -1p = 0 -9 + 0 = 5(p + -5) + 3p -9 = 5(p + -5) + 3p Reorder the terms: -9 = 5(-5 + p) + 3p -9 = (-5 * 5 + p * 5) + 3p -9 = (-25 + 5p) + 3p Combine like terms: 5p + 3p = 8p -9 = -25 + 8p Solving -9 = -25 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -9 + -8p = -25 + 8p + -8p Combine like terms: 8p + -8p = 0 -9 + -8p = -25 + 0 -9 + -8p = -25 Add '9' to each side of the equation. -9 + 9 + -8p = -25 + 9 Combine like terms: -9 + 9 = 0 0 + -8p = -25 + 9 -8p = -25 + 9 Combine like terms: -25 + 9 = -16 -8p = -16 Divide each side by '-8'. p = 2 Simplifying p = 2
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