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Simplifying 2(4 + -5p) = -8p (4 * 2 + -5p * 2) = -8p (8 + -10p) = -8p Solving 8 + -10p = -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. 8 + -10p + 8p = -8p + 8p Combine like terms: -10p + 8p = -2p 8 + -2p = -8p + 8p Combine like terms: -8p + 8p = 0 8 + -2p = 0 Add '-8' to each side of the equation. 8 + -8 + -2p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 0 + -8 -2p = 0 + -8 Combine like terms: 0 + -8 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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