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Simplifying 4 + 9p + -2 = 9p + 34 + -4p Reorder the terms: 4 + -2 + 9p = 9p + 34 + -4p Combine like terms: 4 + -2 = 2 2 + 9p = 9p + 34 + -4p Reorder the terms: 2 + 9p = 34 + 9p + -4p Combine like terms: 9p + -4p = 5p 2 + 9p = 34 + 5p Solving 2 + 9p = 34 + 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. 2 + 9p + -5p = 34 + 5p + -5p Combine like terms: 9p + -5p = 4p 2 + 4p = 34 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + 4p = 34 + 0 2 + 4p = 34 Add '-2' to each side of the equation. 2 + -2 + 4p = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 4p = 34 + -2 4p = 34 + -2 Combine like terms: 34 + -2 = 32 4p = 32 Divide each side by '4'. p = 8 Simplifying p = 8
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