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Simplifying 7 + 11p + -6 = 7p + 65 + -4p Reorder the terms: 7 + -6 + 11p = 7p + 65 + -4p Combine like terms: 7 + -6 = 1 1 + 11p = 7p + 65 + -4p Reorder the terms: 1 + 11p = 65 + 7p + -4p Combine like terms: 7p + -4p = 3p 1 + 11p = 65 + 3p Solving 1 + 11p = 65 + 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. 1 + 11p + -3p = 65 + 3p + -3p Combine like terms: 11p + -3p = 8p 1 + 8p = 65 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 8p = 65 + 0 1 + 8p = 65 Add '-1' to each side of the equation. 1 + -1 + 8p = 65 + -1 Combine like terms: 1 + -1 = 0 0 + 8p = 65 + -1 8p = 65 + -1 Combine like terms: 65 + -1 = 64 8p = 64 Divide each side by '8'. p = 8 Simplifying p = 8
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