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Simplifying -1p + -2 = (2 + -3p) + 6 Reorder the terms: -2 + -1p = (2 + -3p) + 6 Remove parenthesis around (2 + -3p) -2 + -1p = 2 + -3p + 6 Reorder the terms: -2 + -1p = 2 + 6 + -3p Combine like terms: 2 + 6 = 8 -2 + -1p = 8 + -3p Solving -2 + -1p = 8 + -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. -2 + -1p + 3p = 8 + -3p + 3p Combine like terms: -1p + 3p = 2p -2 + 2p = 8 + -3p + 3p Combine like terms: -3p + 3p = 0 -2 + 2p = 8 + 0 -2 + 2p = 8 Add '2' to each side of the equation. -2 + 2 + 2p = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2p = 8 + 2 2p = 8 + 2 Combine like terms: 8 + 2 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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