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Simplifying 26 + -1(8 + p) = 3(2 + -1p) 26 + (8 * -1 + p * -1) = 3(2 + -1p) 26 + (-8 + -1p) = 3(2 + -1p) Combine like terms: 26 + -8 = 18 18 + -1p = 3(2 + -1p) 18 + -1p = (2 * 3 + -1p * 3) 18 + -1p = (6 + -3p) Solving 18 + -1p = 6 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 18 + -1p + 3p = 6 + -3p + 3p Combine like terms: -1p + 3p = 2p 18 + 2p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 18 + 2p = 6 + 0 18 + 2p = 6 Add '-18' to each side of the equation. 18 + -18 + 2p = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 2p = 6 + -18 2p = 6 + -18 Combine like terms: 6 + -18 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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