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Simplifying p + -1(p + 25) = 5(p + -5) + 3p Reorder the terms: p + -1(25 + p) = 5(p + -5) + 3p p + (25 * -1 + p * -1) = 5(p + -5) + 3p p + (-25 + -1p) = 5(p + -5) + 3p Reorder the terms: -25 + p + -1p = 5(p + -5) + 3p Combine like terms: p + -1p = 0 -25 + 0 = 5(p + -5) + 3p -25 = 5(p + -5) + 3p Reorder the terms: -25 = 5(-5 + p) + 3p -25 = (-5 * 5 + p * 5) + 3p -25 = (-25 + 5p) + 3p Combine like terms: 5p + 3p = 8p -25 = -25 + 8p Add '25' to each side of the equation. -25 + 25 = -25 + 25 + 8p Combine like terms: -25 + 25 = 0 0 = -25 + 25 + 8p Combine like terms: -25 + 25 = 0 0 = 0 + 8p 0 = 8p Solving 0 = 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. 0 + -8p = 8p + -8p Remove the zero: -8p = 8p + -8p Combine like terms: 8p + -8p = 0 -8p = 0 Divide each side by '-8'. p = 0 Simplifying p = 0
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