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Simplifying 2(p + -1(2p + 10) + 8) = 2(p + 2) Reorder the terms: 2(p + -1(10 + 2p) + 8) = 2(p + 2) 2(p + (10 * -1 + 2p * -1) + 8) = 2(p + 2) 2(p + (-10 + -2p) + 8) = 2(p + 2) Reorder the terms: 2(-10 + 8 + p + -2p) = 2(p + 2) Combine like terms: -10 + 8 = -2 2(-2 + p + -2p) = 2(p + 2) Combine like terms: p + -2p = -1p 2(-2 + -1p) = 2(p + 2) (-2 * 2 + -1p * 2) = 2(p + 2) (-4 + -2p) = 2(p + 2) Reorder the terms: -4 + -2p = 2(2 + p) -4 + -2p = (2 * 2 + p * 2) -4 + -2p = (4 + 2p) Solving -4 + -2p = 4 + 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. -4 + -2p + -2p = 4 + 2p + -2p Combine like terms: -2p + -2p = -4p -4 + -4p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + -4p = 4 + 0 -4 + -4p = 4 Add '4' to each side of the equation. -4 + 4 + -4p = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4p = 4 + 4 -4p = 4 + 4 Combine like terms: 4 + 4 = 8 -4p = 8 Divide each side by '-4'. p = -2 Simplifying p = -2
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