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Simplifying 5 + 8p + -2 = 7p + 13 + -4p Reorder the terms: 5 + -2 + 8p = 7p + 13 + -4p Combine like terms: 5 + -2 = 3 3 + 8p = 7p + 13 + -4p Reorder the terms: 3 + 8p = 13 + 7p + -4p Combine like terms: 7p + -4p = 3p 3 + 8p = 13 + 3p Solving 3 + 8p = 13 + 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. 3 + 8p + -3p = 13 + 3p + -3p Combine like terms: 8p + -3p = 5p 3 + 5p = 13 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + 5p = 13 + 0 3 + 5p = 13 Add '-3' to each side of the equation. 3 + -3 + 5p = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5p = 13 + -3 5p = 13 + -3 Combine like terms: 13 + -3 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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