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Simplifying 14 + 2p = 20 + 1.5p Solving 14 + 2p = 20 + 1.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5p' to each side of the equation. 14 + 2p + -1.5p = 20 + 1.5p + -1.5p Combine like terms: 2p + -1.5p = 0.5p 14 + 0.5p = 20 + 1.5p + -1.5p Combine like terms: 1.5p + -1.5p = 0.0 14 + 0.5p = 20 + 0.0 14 + 0.5p = 20 Add '-14' to each side of the equation. 14 + -14 + 0.5p = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 0.5p = 20 + -14 0.5p = 20 + -14 Combine like terms: 20 + -14 = 6 0.5p = 6 Divide each side by '0.5'. p = 12 Simplifying p = 12
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