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Simplifying 3 + 3p + 4p + 11 = 9p + 34 + 3 Reorder the terms: 3 + 11 + 3p + 4p = 9p + 34 + 3 Combine like terms: 3 + 11 = 14 14 + 3p + 4p = 9p + 34 + 3 Combine like terms: 3p + 4p = 7p 14 + 7p = 9p + 34 + 3 Reorder the terms: 14 + 7p = 34 + 3 + 9p Combine like terms: 34 + 3 = 37 14 + 7p = 37 + 9p Solving 14 + 7p = 37 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 14 + 7p + -9p = 37 + 9p + -9p Combine like terms: 7p + -9p = -2p 14 + -2p = 37 + 9p + -9p Combine like terms: 9p + -9p = 0 14 + -2p = 37 + 0 14 + -2p = 37 Add '-14' to each side of the equation. 14 + -14 + -2p = 37 + -14 Combine like terms: 14 + -14 = 0 0 + -2p = 37 + -14 -2p = 37 + -14 Combine like terms: 37 + -14 = 23 -2p = 23 Divide each side by '-2'. p = -11.5 Simplifying p = -11.5
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