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Simplifying 3(p + 2) = 2(p + -1) Reorder the terms: 3(2 + p) = 2(p + -1) (2 * 3 + p * 3) = 2(p + -1) (6 + 3p) = 2(p + -1) Reorder the terms: 6 + 3p = 2(-1 + p) 6 + 3p = (-1 * 2 + p * 2) 6 + 3p = (-2 + 2p) Solving 6 + 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. 6 + 3p + -2p = -2 + 2p + -2p Combine like terms: 3p + -2p = 1p 6 + 1p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 6 + 1p = -2 + 0 6 + 1p = -2 Add '-6' to each side of the equation. 6 + -6 + 1p = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1p = -2 + -6 1p = -2 + -6 Combine like terms: -2 + -6 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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