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Simplifying 3(p + 2) = 2(p + 3) Reorder the terms: 3(2 + p) = 2(p + 3) (2 * 3 + p * 3) = 2(p + 3) (6 + 3p) = 2(p + 3) Reorder the terms: 6 + 3p = 2(3 + p) 6 + 3p = (3 * 2 + p * 2) 6 + 3p = (6 + 2p) Add '-6' to each side of the equation. 6 + -6 + 3p = 6 + -6 + 2p Combine like terms: 6 + -6 = 0 0 + 3p = 6 + -6 + 2p 3p = 6 + -6 + 2p Combine like terms: 6 + -6 = 0 3p = 0 + 2p 3p = 2p Solving 3p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 3p + -2p = 2p + -2p Combine like terms: 3p + -2p = 1p 1p = 2p + -2p Combine like terms: 2p + -2p = 0 1p = 0 Divide each side by '1'. p = 0 Simplifying p = 0
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