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Simplifying p + -1(p + 20) = 5(p + -4) + 3p Reorder the terms: p + -1(20 + p) = 5(p + -4) + 3p p + (20 * -1 + p * -1) = 5(p + -4) + 3p p + (-20 + -1p) = 5(p + -4) + 3p Reorder the terms: -20 + p + -1p = 5(p + -4) + 3p Combine like terms: p + -1p = 0 -20 + 0 = 5(p + -4) + 3p -20 = 5(p + -4) + 3p Reorder the terms: -20 = 5(-4 + p) + 3p -20 = (-4 * 5 + p * 5) + 3p -20 = (-20 + 5p) + 3p Combine like terms: 5p + 3p = 8p -20 = -20 + 8p Add '20' to each side of the equation. -20 + 20 = -20 + 20 + 8p Combine like terms: -20 + 20 = 0 0 = -20 + 20 + 8p Combine like terms: -20 + 20 = 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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