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Simplifying 4 + 9p + -2 = 8p + 6 + -3p Reorder the terms: 4 + -2 + 9p = 8p + 6 + -3p Combine like terms: 4 + -2 = 2 2 + 9p = 8p + 6 + -3p Reorder the terms: 2 + 9p = 6 + 8p + -3p Combine like terms: 8p + -3p = 5p 2 + 9p = 6 + 5p Solving 2 + 9p = 6 + 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 = 6 + 5p + -5p Combine like terms: 9p + -5p = 4p 2 + 4p = 6 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + 4p = 6 + 0 2 + 4p = 6 Add '-2' to each side of the equation. 2 + -2 + 4p = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4p = 6 + -2 4p = 6 + -2 Combine like terms: 6 + -2 = 4 4p = 4 Divide each side by '4'. p = 1 Simplifying p = 1
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