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Simplifying 9p + 6 = 3(p + 8) Reorder the terms: 6 + 9p = 3(p + 8) Reorder the terms: 6 + 9p = 3(8 + p) 6 + 9p = (8 * 3 + p * 3) 6 + 9p = (24 + 3p) Solving 6 + 9p = 24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 6 + 9p + -3p = 24 + 3p + -3p Combine like terms: 9p + -3p = 6p 6 + 6p = 24 + 3p + -3p Combine like terms: 3p + -3p = 0 6 + 6p = 24 + 0 6 + 6p = 24 Add '-6' to each side of the equation. 6 + -6 + 6p = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6p = 24 + -6 6p = 24 + -6 Combine like terms: 24 + -6 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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