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Simplifying -8 + 2(p + -1) = -1p + 14 Reorder the terms: -8 + 2(-1 + p) = -1p + 14 -8 + (-1 * 2 + p * 2) = -1p + 14 -8 + (-2 + 2p) = -1p + 14 Combine like terms: -8 + -2 = -10 -10 + 2p = -1p + 14 Reorder the terms: -10 + 2p = 14 + -1p Solving -10 + 2p = 14 + -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. -10 + 2p + p = 14 + -1p + p Combine like terms: 2p + p = 3p -10 + 3p = 14 + -1p + p Combine like terms: -1p + p = 0 -10 + 3p = 14 + 0 -10 + 3p = 14 Add '10' to each side of the equation. -10 + 10 + 3p = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 3p = 14 + 10 3p = 14 + 10 Combine like terms: 14 + 10 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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