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Simplifying -3p + 8p = 5 + -1(6p + 1) Combine like terms: -3p + 8p = 5p 5p = 5 + -1(6p + 1) Reorder the terms: 5p = 5 + -1(1 + 6p) 5p = 5 + (1 * -1 + 6p * -1) 5p = 5 + (-1 + -6p) Combine like terms: 5 + -1 = 4 5p = 4 + -6p Solving 5p = 4 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 5p + 6p = 4 + -6p + 6p Combine like terms: 5p + 6p = 11p 11p = 4 + -6p + 6p Combine like terms: -6p + 6p = 0 11p = 4 + 0 11p = 4 Divide each side by '11'. p = 0.3636363636 Simplifying p = 0.3636363636
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