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Simplifying 3(p + 4) = 2(p + 1) Reorder the terms: 3(4 + p) = 2(p + 1) (4 * 3 + p * 3) = 2(p + 1) (12 + 3p) = 2(p + 1) Reorder the terms: 12 + 3p = 2(1 + p) 12 + 3p = (1 * 2 + p * 2) 12 + 3p = (2 + 2p) Solving 12 + 3p = 2 + 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. 12 + 3p + -2p = 2 + 2p + -2p Combine like terms: 3p + -2p = 1p 12 + 1p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 1p = 2 + 0 12 + 1p = 2 Add '-12' to each side of the equation. 12 + -12 + 1p = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1p = 2 + -12 1p = 2 + -12 Combine like terms: 2 + -12 = -10 1p = -10 Divide each side by '1'. p = -10 Simplifying p = -10
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