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Simplifying 3 + 3p + 4p + 11 = 9p + 34 + 3p Reorder the terms: 3 + 11 + 3p + 4p = 9p + 34 + 3p Combine like terms: 3 + 11 = 14 14 + 3p + 4p = 9p + 34 + 3p Combine like terms: 3p + 4p = 7p 14 + 7p = 9p + 34 + 3p Reorder the terms: 14 + 7p = 34 + 9p + 3p Combine like terms: 9p + 3p = 12p 14 + 7p = 34 + 12p Solving 14 + 7p = 34 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 14 + 7p + -12p = 34 + 12p + -12p Combine like terms: 7p + -12p = -5p 14 + -5p = 34 + 12p + -12p Combine like terms: 12p + -12p = 0 14 + -5p = 34 + 0 14 + -5p = 34 Add '-14' to each side of the equation. 14 + -14 + -5p = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -5p = 34 + -14 -5p = 34 + -14 Combine like terms: 34 + -14 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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