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Simplifying 11 + 4p + -4 + 7p = 1 + 8p Reorder the terms: 11 + -4 + 4p + 7p = 1 + 8p Combine like terms: 11 + -4 = 7 7 + 4p + 7p = 1 + 8p Combine like terms: 4p + 7p = 11p 7 + 11p = 1 + 8p Solving 7 + 11p = 1 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 7 + 11p + -8p = 1 + 8p + -8p Combine like terms: 11p + -8p = 3p 7 + 3p = 1 + 8p + -8p Combine like terms: 8p + -8p = 0 7 + 3p = 1 + 0 7 + 3p = 1 Add '-7' to each side of the equation. 7 + -7 + 3p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 1 + -7 3p = 1 + -7 Combine like terms: 1 + -7 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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