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Simplifying 8 + -1(3 + -1p) = 6 + (3p + 1) 8 + (3 * -1 + -1p * -1) = 6 + (3p + 1) 8 + (-3 + 1p) = 6 + (3p + 1) Combine like terms: 8 + -3 = 5 5 + 1p = 6 + (3p + 1) Reorder the terms: 5 + 1p = 6 + (1 + 3p) Remove parenthesis around (1 + 3p) 5 + 1p = 6 + 1 + 3p Combine like terms: 6 + 1 = 7 5 + 1p = 7 + 3p Solving 5 + 1p = 7 + 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. 5 + 1p + -3p = 7 + 3p + -3p Combine like terms: 1p + -3p = -2p 5 + -2p = 7 + 3p + -3p Combine like terms: 3p + -3p = 0 5 + -2p = 7 + 0 5 + -2p = 7 Add '-5' to each side of the equation. 5 + -5 + -2p = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 7 + -5 -2p = 7 + -5 Combine like terms: 7 + -5 = 2 -2p = 2 Divide each side by '-2'. p = -1 Simplifying p = -1
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