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Simplifying 4(2p + 6) = 8(3 + 3p) Reorder the terms: 4(6 + 2p) = 8(3 + 3p) (6 * 4 + 2p * 4) = 8(3 + 3p) (24 + 8p) = 8(3 + 3p) 24 + 8p = (3 * 8 + 3p * 8) 24 + 8p = (24 + 24p) Add '-24' to each side of the equation. 24 + -24 + 8p = 24 + -24 + 24p Combine like terms: 24 + -24 = 0 0 + 8p = 24 + -24 + 24p 8p = 24 + -24 + 24p Combine like terms: 24 + -24 = 0 8p = 0 + 24p 8p = 24p Solving 8p = 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. 8p + -24p = 24p + -24p Combine like terms: 8p + -24p = -16p -16p = 24p + -24p Combine like terms: 24p + -24p = 0 -16p = 0 Divide each side by '-16'. p = 0 Simplifying p = 0
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