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Simplifying -8(p + -8) = -4(5 + -5p) Reorder the terms: -8(-8 + p) = -4(5 + -5p) (-8 * -8 + p * -8) = -4(5 + -5p) (64 + -8p) = -4(5 + -5p) 64 + -8p = (5 * -4 + -5p * -4) 64 + -8p = (-20 + 20p) Solving 64 + -8p = -20 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 64 + -8p + -20p = -20 + 20p + -20p Combine like terms: -8p + -20p = -28p 64 + -28p = -20 + 20p + -20p Combine like terms: 20p + -20p = 0 64 + -28p = -20 + 0 64 + -28p = -20 Add '-64' to each side of the equation. 64 + -64 + -28p = -20 + -64 Combine like terms: 64 + -64 = 0 0 + -28p = -20 + -64 -28p = -20 + -64 Combine like terms: -20 + -64 = -84 -28p = -84 Divide each side by '-28'. p = 3 Simplifying p = 3
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