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Simplifying 3(p + 6) = 24 + -3p Reorder the terms: 3(6 + p) = 24 + -3p (6 * 3 + p * 3) = 24 + -3p (18 + 3p) = 24 + -3p Solving 18 + 3p = 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. 18 + 3p + 3p = 24 + -3p + 3p Combine like terms: 3p + 3p = 6p 18 + 6p = 24 + -3p + 3p Combine like terms: -3p + 3p = 0 18 + 6p = 24 + 0 18 + 6p = 24 Add '-18' to each side of the equation. 18 + -18 + 6p = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 6p = 24 + -18 6p = 24 + -18 Combine like terms: 24 + -18 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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