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Simplifying 5p = 8 + 3(p + -2) + p Reorder the terms: 5p = 8 + 3(-2 + p) + p 5p = 8 + (-2 * 3 + p * 3) + p 5p = 8 + (-6 + 3p) + p Combine like terms: 8 + -6 = 2 5p = 2 + 3p + p Combine like terms: 3p + p = 4p 5p = 2 + 4p Solving 5p = 2 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 5p + -4p = 2 + 4p + -4p Combine like terms: 5p + -4p = 1p 1p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 1p = 2 + 0 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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