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Simplifying 3 + p + -5p = 7 + 3p + -1 + -8p Combine like terms: p + -5p = -4p 3 + -4p = 7 + 3p + -1 + -8p Reorder the terms: 3 + -4p = 7 + -1 + 3p + -8p Combine like terms: 7 + -1 = 6 3 + -4p = 6 + 3p + -8p Combine like terms: 3p + -8p = -5p 3 + -4p = 6 + -5p Solving 3 + -4p = 6 + -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. 3 + -4p + 5p = 6 + -5p + 5p Combine like terms: -4p + 5p = 1p 3 + 1p = 6 + -5p + 5p Combine like terms: -5p + 5p = 0 3 + 1p = 6 + 0 3 + 1p = 6 Add '-3' to each side of the equation. 3 + -3 + 1p = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 1p = 6 + -3 1p = 6 + -3 Combine like terms: 6 + -3 = 3 1p = 3 Divide each side by '1'. p = 3 Simplifying p = 3
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