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Simplifying 3p + 39 = -6 + 3(3 + 3p) Reorder the terms: 39 + 3p = -6 + 3(3 + 3p) 39 + 3p = -6 + (3 * 3 + 3p * 3) 39 + 3p = -6 + (9 + 9p) Combine like terms: -6 + 9 = 3 39 + 3p = 3 + 9p Solving 39 + 3p = 3 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 39 + 3p + -9p = 3 + 9p + -9p Combine like terms: 3p + -9p = -6p 39 + -6p = 3 + 9p + -9p Combine like terms: 9p + -9p = 0 39 + -6p = 3 + 0 39 + -6p = 3 Add '-39' to each side of the equation. 39 + -39 + -6p = 3 + -39 Combine like terms: 39 + -39 = 0 0 + -6p = 3 + -39 -6p = 3 + -39 Combine like terms: 3 + -39 = -36 -6p = -36 Divide each side by '-6'. p = 6 Simplifying p = 6
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