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Simplifying 2(p + -2p + -12 + 11) = 2p + 2 Reorder the terms: 2(-12 + 11 + p + -2p) = 2p + 2 Combine like terms: -12 + 11 = -1 2(-1 + p + -2p) = 2p + 2 Combine like terms: p + -2p = -1p 2(-1 + -1p) = 2p + 2 (-1 * 2 + -1p * 2) = 2p + 2 (-2 + -2p) = 2p + 2 Reorder the terms: -2 + -2p = 2 + 2p Solving -2 + -2p = 2 + 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. -2 + -2p + -2p = 2 + 2p + -2p Combine like terms: -2p + -2p = -4p -2 + -4p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + -4p = 2 + 0 -2 + -4p = 2 Add '2' to each side of the equation. -2 + 2 + -4p = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -4p = 2 + 2 -4p = 2 + 2 Combine like terms: 2 + 2 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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