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Simplifying -1p + 23 = 2 + -2(p + -8) Reorder the terms: 23 + -1p = 2 + -2(p + -8) Reorder the terms: 23 + -1p = 2 + -2(-8 + p) 23 + -1p = 2 + (-8 * -2 + p * -2) 23 + -1p = 2 + (16 + -2p) Combine like terms: 2 + 16 = 18 23 + -1p = 18 + -2p Solving 23 + -1p = 18 + -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. 23 + -1p + 2p = 18 + -2p + 2p Combine like terms: -1p + 2p = 1p 23 + 1p = 18 + -2p + 2p Combine like terms: -2p + 2p = 0 23 + 1p = 18 + 0 23 + 1p = 18 Add '-23' to each side of the equation. 23 + -23 + 1p = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 1p = 18 + -23 1p = 18 + -23 Combine like terms: 18 + -23 = -5 1p = -5 Divide each side by '1'. p = -5 Simplifying p = -5
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