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Simplifying 3p + 18 = 6(4p + 3) Reorder the terms: 18 + 3p = 6(4p + 3) Reorder the terms: 18 + 3p = 6(3 + 4p) 18 + 3p = (3 * 6 + 4p * 6) 18 + 3p = (18 + 24p) Add '-18' to each side of the equation. 18 + -18 + 3p = 18 + -18 + 24p Combine like terms: 18 + -18 = 0 0 + 3p = 18 + -18 + 24p 3p = 18 + -18 + 24p Combine like terms: 18 + -18 = 0 3p = 0 + 24p 3p = 24p Solving 3p = 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 3p + -24p = 24p + -24p Combine like terms: 3p + -24p = -21p -21p = 24p + -24p Combine like terms: 24p + -24p = 0 -21p = 0 Divide each side by '-21'. p = 0 Simplifying p = 0
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