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Simplifying -8(p + -5) = -20 + 2p Reorder the terms: -8(-5 + p) = -20 + 2p (-5 * -8 + p * -8) = -20 + 2p (40 + -8p) = -20 + 2p Solving 40 + -8p = -20 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 40 + -8p + -2p = -20 + 2p + -2p Combine like terms: -8p + -2p = -10p 40 + -10p = -20 + 2p + -2p Combine like terms: 2p + -2p = 0 40 + -10p = -20 + 0 40 + -10p = -20 Add '-40' to each side of the equation. 40 + -40 + -10p = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -10p = -20 + -40 -10p = -20 + -40 Combine like terms: -20 + -40 = -60 -10p = -60 Divide each side by '-10'. p = 6 Simplifying p = 6
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