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Simplifying 3(3p + 1) + 5p = 33 + 8p Reorder the terms: 3(1 + 3p) + 5p = 33 + 8p (1 * 3 + 3p * 3) + 5p = 33 + 8p (3 + 9p) + 5p = 33 + 8p Combine like terms: 9p + 5p = 14p 3 + 14p = 33 + 8p Solving 3 + 14p = 33 + 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. 3 + 14p + -8p = 33 + 8p + -8p Combine like terms: 14p + -8p = 6p 3 + 6p = 33 + 8p + -8p Combine like terms: 8p + -8p = 0 3 + 6p = 33 + 0 3 + 6p = 33 Add '-3' to each side of the equation. 3 + -3 + 6p = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 6p = 33 + -3 6p = 33 + -3 Combine like terms: 33 + -3 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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