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Simplifying 3p + 14 = 5p + 27 Reorder the terms: 14 + 3p = 5p + 27 Reorder the terms: 14 + 3p = 27 + 5p Solving 14 + 3p = 27 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 14 + 3p + -5p = 27 + 5p + -5p Combine like terms: 3p + -5p = -2p 14 + -2p = 27 + 5p + -5p Combine like terms: 5p + -5p = 0 14 + -2p = 27 + 0 14 + -2p = 27 Add '-14' to each side of the equation. 14 + -14 + -2p = 27 + -14 Combine like terms: 14 + -14 = 0 0 + -2p = 27 + -14 -2p = 27 + -14 Combine like terms: 27 + -14 = 13 -2p = 13 Divide each side by '-2'. p = -6.5 Simplifying p = -6.5
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