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Simplifying 2p + -4(p + -2) = -2 + -4p Reorder the terms: 2p + -4(-2 + p) = -2 + -4p 2p + (-2 * -4 + p * -4) = -2 + -4p 2p + (8 + -4p) = -2 + -4p Reorder the terms: 8 + 2p + -4p = -2 + -4p Combine like terms: 2p + -4p = -2p 8 + -2p = -2 + -4p Solving 8 + -2p = -2 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 8 + -2p + 4p = -2 + -4p + 4p Combine like terms: -2p + 4p = 2p 8 + 2p = -2 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + 2p = -2 + 0 8 + 2p = -2 Add '-8' to each side of the equation. 8 + -8 + 2p = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = -2 + -8 2p = -2 + -8 Combine like terms: -2 + -8 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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