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Simplifying 14p = 16(p + 12) Reorder the terms: 14p = 16(12 + p) 14p = (12 * 16 + p * 16) 14p = (192 + 16p) Solving 14p = 192 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 14p + -16p = 192 + 16p + -16p Combine like terms: 14p + -16p = -2p -2p = 192 + 16p + -16p Combine like terms: 16p + -16p = 0 -2p = 192 + 0 -2p = 192 Divide each side by '-2'. p = -96 Simplifying p = -96
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