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Simplifying 14(p + 7) = 2(1 + -1p) Reorder the terms: 14(7 + p) = 2(1 + -1p) (7 * 14 + p * 14) = 2(1 + -1p) (98 + 14p) = 2(1 + -1p) 98 + 14p = (1 * 2 + -1p * 2) 98 + 14p = (2 + -2p) Solving 98 + 14p = 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. 98 + 14p + 2p = 2 + -2p + 2p Combine like terms: 14p + 2p = 16p 98 + 16p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 98 + 16p = 2 + 0 98 + 16p = 2 Add '-98' to each side of the equation. 98 + -98 + 16p = 2 + -98 Combine like terms: 98 + -98 = 0 0 + 16p = 2 + -98 16p = 2 + -98 Combine like terms: 2 + -98 = -96 16p = -96 Divide each side by '16'. p = -6 Simplifying p = -6
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