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Simplifying -3p + 8 = 6 + -1(11p + 5) Reorder the terms: 8 + -3p = 6 + -1(11p + 5) Reorder the terms: 8 + -3p = 6 + -1(5 + 11p) 8 + -3p = 6 + (5 * -1 + 11p * -1) 8 + -3p = 6 + (-5 + -11p) Combine like terms: 6 + -5 = 1 8 + -3p = 1 + -11p Solving 8 + -3p = 1 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 8 + -3p + 11p = 1 + -11p + 11p Combine like terms: -3p + 11p = 8p 8 + 8p = 1 + -11p + 11p Combine like terms: -11p + 11p = 0 8 + 8p = 1 + 0 8 + 8p = 1 Add '-8' to each side of the equation. 8 + -8 + 8p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 8p = 1 + -8 8p = 1 + -8 Combine like terms: 1 + -8 = -7 8p = -7 Divide each side by '8'. p = -0.875 Simplifying p = -0.875
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