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Simplifying 4 + 9p + -2 = 7p + 8 + -4p Reorder the terms: 4 + -2 + 9p = 7p + 8 + -4p Combine like terms: 4 + -2 = 2 2 + 9p = 7p + 8 + -4p Reorder the terms: 2 + 9p = 8 + 7p + -4p Combine like terms: 7p + -4p = 3p 2 + 9p = 8 + 3p Solving 2 + 9p = 8 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2 + 9p + -3p = 8 + 3p + -3p Combine like terms: 9p + -3p = 6p 2 + 6p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + 6p = 8 + 0 2 + 6p = 8 Add '-2' to each side of the equation. 2 + -2 + 6p = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6p = 8 + -2 6p = 8 + -2 Combine like terms: 8 + -2 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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