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Simplifying 3(1 + 5p) = 27 + 6p (1 * 3 + 5p * 3) = 27 + 6p (3 + 15p) = 27 + 6p Solving 3 + 15p = 27 + 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. 3 + 15p + -6p = 27 + 6p + -6p Combine like terms: 15p + -6p = 9p 3 + 9p = 27 + 6p + -6p Combine like terms: 6p + -6p = 0 3 + 9p = 27 + 0 3 + 9p = 27 Add '-3' to each side of the equation. 3 + -3 + 9p = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 27 + -3 9p = 27 + -3 Combine like terms: 27 + -3 = 24 9p = 24 Divide each side by '9'. p = 2.666666667 Simplifying p = 2.666666667
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