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Simplifying 3 + -1(p + 2) = 2p + 3(p + 4) Reorder the terms: 3 + -1(2 + p) = 2p + 3(p + 4) 3 + (2 * -1 + p * -1) = 2p + 3(p + 4) 3 + (-2 + -1p) = 2p + 3(p + 4) Combine like terms: 3 + -2 = 1 1 + -1p = 2p + 3(p + 4) Reorder the terms: 1 + -1p = 2p + 3(4 + p) 1 + -1p = 2p + (4 * 3 + p * 3) 1 + -1p = 2p + (12 + 3p) Reorder the terms: 1 + -1p = 12 + 2p + 3p Combine like terms: 2p + 3p = 5p 1 + -1p = 12 + 5p Solving 1 + -1p = 12 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 1 + -1p + -5p = 12 + 5p + -5p Combine like terms: -1p + -5p = -6p 1 + -6p = 12 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + -6p = 12 + 0 1 + -6p = 12 Add '-1' to each side of the equation. 1 + -1 + -6p = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -6p = 12 + -1 -6p = 12 + -1 Combine like terms: 12 + -1 = 11 -6p = 11 Divide each side by '-6'. p = -1.833333333 Simplifying p = -1.833333333
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