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