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Simplifying -8p + -5(5 + -3p) = 4(p + -5) + -5 -8p + (5 * -5 + -3p * -5) = 4(p + -5) + -5 -8p + (-25 + 15p) = 4(p + -5) + -5 Reorder the terms: -25 + -8p + 15p = 4(p + -5) + -5 Combine like terms: -8p + 15p = 7p -25 + 7p = 4(p + -5) + -5 Reorder the terms: -25 + 7p = 4(-5 + p) + -5 -25 + 7p = (-5 * 4 + p * 4) + -5 -25 + 7p = (-20 + 4p) + -5 Reorder the terms: -25 + 7p = -20 + -5 + 4p Combine like terms: -20 + -5 = -25 -25 + 7p = -25 + 4p Add '25' to each side of the equation. -25 + 25 + 7p = -25 + 25 + 4p Combine like terms: -25 + 25 = 0 0 + 7p = -25 + 25 + 4p 7p = -25 + 25 + 4p Combine like terms: -25 + 25 = 0 7p = 0 + 4p 7p = 4p Solving 7p = 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. 7p + -4p = 4p + -4p Combine like terms: 7p + -4p = 3p 3p = 4p + -4p Combine like terms: 4p + -4p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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