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Simplifying -20 + -6(-8p + 20) = 20 + 20p + 20p Reorder the terms: -20 + -6(20 + -8p) = 20 + 20p + 20p -20 + (20 * -6 + -8p * -6) = 20 + 20p + 20p -20 + (-120 + 48p) = 20 + 20p + 20p Combine like terms: -20 + -120 = -140 -140 + 48p = 20 + 20p + 20p Combine like terms: 20p + 20p = 40p -140 + 48p = 20 + 40p Solving -140 + 48p = 20 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. -140 + 48p + -40p = 20 + 40p + -40p Combine like terms: 48p + -40p = 8p -140 + 8p = 20 + 40p + -40p Combine like terms: 40p + -40p = 0 -140 + 8p = 20 + 0 -140 + 8p = 20 Add '140' to each side of the equation. -140 + 140 + 8p = 20 + 140 Combine like terms: -140 + 140 = 0 0 + 8p = 20 + 140 8p = 20 + 140 Combine like terms: 20 + 140 = 160 8p = 160 Divide each side by '8'. p = 20 Simplifying p = 20
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