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Simplifying 24 + 8p = 3(5p + 8) + 6p Reorder the terms: 24 + 8p = 3(8 + 5p) + 6p 24 + 8p = (8 * 3 + 5p * 3) + 6p 24 + 8p = (24 + 15p) + 6p Combine like terms: 15p + 6p = 21p 24 + 8p = 24 + 21p Add '-24' to each side of the equation. 24 + -24 + 8p = 24 + -24 + 21p Combine like terms: 24 + -24 = 0 0 + 8p = 24 + -24 + 21p 8p = 24 + -24 + 21p Combine like terms: 24 + -24 = 0 8p = 0 + 21p 8p = 21p Solving 8p = 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. 8p + -21p = 21p + -21p Combine like terms: 8p + -21p = -13p -13p = 21p + -21p Combine like terms: 21p + -21p = 0 -13p = 0 Divide each side by '-13'. p = 0 Simplifying p = 0
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