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Simplifying 4 + 11p + -3 = 8p + 41 + -5p Reorder the terms: 4 + -3 + 11p = 8p + 41 + -5p Combine like terms: 4 + -3 = 1 1 + 11p = 8p + 41 + -5p Reorder the terms: 1 + 11p = 41 + 8p + -5p Combine like terms: 8p + -5p = 3p 1 + 11p = 41 + 3p Solving 1 + 11p = 41 + 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 = 41 + 3p + -3p Combine like terms: 11p + -3p = 8p 1 + 8p = 41 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 8p = 41 + 0 1 + 8p = 41 Add '-1' to each side of the equation. 1 + -1 + 8p = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 8p = 41 + -1 8p = 41 + -1 Combine like terms: 41 + -1 = 40 8p = 40 Divide each side by '8'. p = 5 Simplifying p = 5
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