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Simplifying 3 + 6p + -2 = 8p + 2 + -3p Reorder the terms: 3 + -2 + 6p = 8p + 2 + -3p Combine like terms: 3 + -2 = 1 1 + 6p = 8p + 2 + -3p Reorder the terms: 1 + 6p = 2 + 8p + -3p Combine like terms: 8p + -3p = 5p 1 + 6p = 2 + 5p Solving 1 + 6p = 2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 1 + 6p + -5p = 2 + 5p + -5p Combine like terms: 6p + -5p = 1p 1 + 1p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + 1p = 2 + 0 1 + 1p = 2 Add '-1' to each side of the equation. 1 + -1 + 1p = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1p = 2 + -1 1p = 2 + -1 Combine like terms: 2 + -1 = 1 1p = 1 Divide each side by '1'. p = 1 Simplifying p = 1
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