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Simplifying 83 = -1(p + 4) + 2p Reorder the terms: 83 = -1(4 + p) + 2p 83 = (4 * -1 + p * -1) + 2p 83 = (-4 + -1p) + 2p Combine like terms: -1p + 2p = 1p 83 = -4 + 1p Solving 83 = -4 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 83 + -1p = -4 + 1p + -1p Combine like terms: 1p + -1p = 0 83 + -1p = -4 + 0 83 + -1p = -4 Add '-83' to each side of the equation. 83 + -83 + -1p = -4 + -83 Combine like terms: 83 + -83 = 0 0 + -1p = -4 + -83 -1p = -4 + -83 Combine like terms: -4 + -83 = -87 -1p = -87 Divide each side by '-1'. p = 87 Simplifying p = 87
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