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Simplifying 2p + -8 = -1(p + 2) Reorder the terms: -8 + 2p = -1(p + 2) Reorder the terms: -8 + 2p = -1(2 + p) -8 + 2p = (2 * -1 + p * -1) -8 + 2p = (-2 + -1p) Solving -8 + 2p = -2 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -8 + 2p + p = -2 + -1p + p Combine like terms: 2p + p = 3p -8 + 3p = -2 + -1p + p Combine like terms: -1p + p = 0 -8 + 3p = -2 + 0 -8 + 3p = -2 Add '8' to each side of the equation. -8 + 8 + 3p = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = -2 + 8 3p = -2 + 8 Combine like terms: -2 + 8 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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