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Simplifying -7(p + -7) + -8p = -5(p + 7) + 4p Reorder the terms: -7(-7 + p) + -8p = -5(p + 7) + 4p (-7 * -7 + p * -7) + -8p = -5(p + 7) + 4p (49 + -7p) + -8p = -5(p + 7) + 4p Combine like terms: -7p + -8p = -15p 49 + -15p = -5(p + 7) + 4p Reorder the terms: 49 + -15p = -5(7 + p) + 4p 49 + -15p = (7 * -5 + p * -5) + 4p 49 + -15p = (-35 + -5p) + 4p Combine like terms: -5p + 4p = -1p 49 + -15p = -35 + -1p Solving 49 + -15p = -35 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 49 + -15p + p = -35 + -1p + p Combine like terms: -15p + p = -14p 49 + -14p = -35 + -1p + p Combine like terms: -1p + p = 0 49 + -14p = -35 + 0 49 + -14p = -35 Add '-49' to each side of the equation. 49 + -49 + -14p = -35 + -49 Combine like terms: 49 + -49 = 0 0 + -14p = -35 + -49 -14p = -35 + -49 Combine like terms: -35 + -49 = -84 -14p = -84 Divide each side by '-14'. p = 6 Simplifying p = 6
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