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Simplifying 14(p + 3) = -54 + -2p Reorder the terms: 14(3 + p) = -54 + -2p (3 * 14 + p * 14) = -54 + -2p (42 + 14p) = -54 + -2p Solving 42 + 14p = -54 + -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. 42 + 14p + 2p = -54 + -2p + 2p Combine like terms: 14p + 2p = 16p 42 + 16p = -54 + -2p + 2p Combine like terms: -2p + 2p = 0 42 + 16p = -54 + 0 42 + 16p = -54 Add '-42' to each side of the equation. 42 + -42 + 16p = -54 + -42 Combine like terms: 42 + -42 = 0 0 + 16p = -54 + -42 16p = -54 + -42 Combine like terms: -54 + -42 = -96 16p = -96 Divide each side by '16'. p = -6 Simplifying p = -6
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