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Simplifying 14 = 2(6p + -9) + -2p + -1p Reorder the terms: 14 = 2(-9 + 6p) + -2p + -1p 14 = (-9 * 2 + 6p * 2) + -2p + -1p 14 = (-18 + 12p) + -2p + -1p Combine like terms: 12p + -2p = 10p 14 = -18 + 10p + -1p Combine like terms: 10p + -1p = 9p 14 = -18 + 9p Solving 14 = -18 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 14 + -9p = -18 + 9p + -9p Combine like terms: 9p + -9p = 0 14 + -9p = -18 + 0 14 + -9p = -18 Add '-14' to each side of the equation. 14 + -14 + -9p = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -9p = -18 + -14 -9p = -18 + -14 Combine like terms: -18 + -14 = -32 -9p = -32 Divide each side by '-9'. p = 3.555555556 Simplifying p = 3.555555556
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