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Simplifying 9 + 13p + -7 = 9p + 8 + -2p Reorder the terms: 9 + -7 + 13p = 9p + 8 + -2p Combine like terms: 9 + -7 = 2 2 + 13p = 9p + 8 + -2p Reorder the terms: 2 + 13p = 8 + 9p + -2p Combine like terms: 9p + -2p = 7p 2 + 13p = 8 + 7p Solving 2 + 13p = 8 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 2 + 13p + -7p = 8 + 7p + -7p Combine like terms: 13p + -7p = 6p 2 + 6p = 8 + 7p + -7p Combine like terms: 7p + -7p = 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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