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Simplifying -3p + 8 = 5 + -1(p + 1) Reorder the terms: 8 + -3p = 5 + -1(p + 1) Reorder the terms: 8 + -3p = 5 + -1(1 + p) 8 + -3p = 5 + (1 * -1 + p * -1) 8 + -3p = 5 + (-1 + -1p) Combine like terms: 5 + -1 = 4 8 + -3p = 4 + -1p Solving 8 + -3p = 4 + -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. 8 + -3p + p = 4 + -1p + p Combine like terms: -3p + p = -2p 8 + -2p = 4 + -1p + p Combine like terms: -1p + p = 0 8 + -2p = 4 + 0 8 + -2p = 4 Add '-8' to each side of the equation. 8 + -8 + -2p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 4 + -8 -2p = 4 + -8 Combine like terms: 4 + -8 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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