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Simplifying -3p + 8 = 6 + -8p + 7 Reorder the terms: 8 + -3p = 6 + -8p + 7 Reorder the terms: 8 + -3p = 6 + 7 + -8p Combine like terms: 6 + 7 = 13 8 + -3p = 13 + -8p Solving 8 + -3p = 13 + -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. 8 + -3p + 8p = 13 + -8p + 8p Combine like terms: -3p + 8p = 5p 8 + 5p = 13 + -8p + 8p Combine like terms: -8p + 8p = 0 8 + 5p = 13 + 0 8 + 5p = 13 Add '-8' to each side of the equation. 8 + -8 + 5p = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 5p = 13 + -8 5p = 13 + -8 Combine like terms: 13 + -8 = 5 5p = 5 Divide each side by '5'. p = 1 Simplifying p = 1
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