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Simplifying 3(p + 6) = 2(p + 10) Reorder the terms: 3(6 + p) = 2(p + 10) (6 * 3 + p * 3) = 2(p + 10) (18 + 3p) = 2(p + 10) Reorder the terms: 18 + 3p = 2(10 + p) 18 + 3p = (10 * 2 + p * 2) 18 + 3p = (20 + 2p) Solving 18 + 3p = 20 + 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. 18 + 3p + -2p = 20 + 2p + -2p Combine like terms: 3p + -2p = 1p 18 + 1p = 20 + 2p + -2p Combine like terms: 2p + -2p = 0 18 + 1p = 20 + 0 18 + 1p = 20 Add '-18' to each side of the equation. 18 + -18 + 1p = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 1p = 20 + -18 1p = 20 + -18 Combine like terms: 20 + -18 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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