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Simplifying 9 + 9p + -2 = 6p + 47 + -2p Reorder the terms: 9 + -2 + 9p = 6p + 47 + -2p Combine like terms: 9 + -2 = 7 7 + 9p = 6p + 47 + -2p Reorder the terms: 7 + 9p = 47 + 6p + -2p Combine like terms: 6p + -2p = 4p 7 + 9p = 47 + 4p Solving 7 + 9p = 47 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7 + 9p + -4p = 47 + 4p + -4p Combine like terms: 9p + -4p = 5p 7 + 5p = 47 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + 5p = 47 + 0 7 + 5p = 47 Add '-7' to each side of the equation. 7 + -7 + 5p = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = 47 + -7 5p = 47 + -7 Combine like terms: 47 + -7 = 40 5p = 40 Divide each side by '5'. p = 8 Simplifying p = 8
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