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