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Simplifying -1(p + 8) = 10 + 2p Reorder the terms: -1(8 + p) = 10 + 2p (8 * -1 + p * -1) = 10 + 2p (-8 + -1p) = 10 + 2p Solving -8 + -1p = 10 + 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. -8 + -1p + -2p = 10 + 2p + -2p Combine like terms: -1p + -2p = -3p -8 + -3p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + -3p = 10 + 0 -8 + -3p = 10 Add '8' to each side of the equation. -8 + 8 + -3p = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -3p = 10 + 8 -3p = 10 + 8 Combine like terms: 10 + 8 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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