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Simplifying 3p + 14 = -2p + 74 Reorder the terms: 14 + 3p = -2p + 74 Reorder the terms: 14 + 3p = 74 + -2p Solving 14 + 3p = 74 + -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. 14 + 3p + 2p = 74 + -2p + 2p Combine like terms: 3p + 2p = 5p 14 + 5p = 74 + -2p + 2p Combine like terms: -2p + 2p = 0 14 + 5p = 74 + 0 14 + 5p = 74 Add '-14' to each side of the equation. 14 + -14 + 5p = 74 + -14 Combine like terms: 14 + -14 = 0 0 + 5p = 74 + -14 5p = 74 + -14 Combine like terms: 74 + -14 = 60 5p = 60 Divide each side by '5'. p = 12 Simplifying p = 12
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