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Simplifying 9 + 13p + -2 = 8p + 106 + -6p Reorder the terms: 9 + -2 + 13p = 8p + 106 + -6p Combine like terms: 9 + -2 = 7 7 + 13p = 8p + 106 + -6p Reorder the terms: 7 + 13p = 106 + 8p + -6p Combine like terms: 8p + -6p = 2p 7 + 13p = 106 + 2p Solving 7 + 13p = 106 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7 + 13p + -2p = 106 + 2p + -2p Combine like terms: 13p + -2p = 11p 7 + 11p = 106 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 11p = 106 + 0 7 + 11p = 106 Add '-7' to each side of the equation. 7 + -7 + 11p = 106 + -7 Combine like terms: 7 + -7 = 0 0 + 11p = 106 + -7 11p = 106 + -7 Combine like terms: 106 + -7 = 99 11p = 99 Divide each side by '11'. p = 9 Simplifying p = 9
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