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Simplifying -3p + 7 = 5 + -1(11p + 7) Reorder the terms: 7 + -3p = 5 + -1(11p + 7) Reorder the terms: 7 + -3p = 5 + -1(7 + 11p) 7 + -3p = 5 + (7 * -1 + 11p * -1) 7 + -3p = 5 + (-7 + -11p) Combine like terms: 5 + -7 = -2 7 + -3p = -2 + -11p Solving 7 + -3p = -2 + -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. 7 + -3p + 11p = -2 + -11p + 11p Combine like terms: -3p + 11p = 8p 7 + 8p = -2 + -11p + 11p Combine like terms: -11p + 11p = 0 7 + 8p = -2 + 0 7 + 8p = -2 Add '-7' to each side of the equation. 7 + -7 + 8p = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = -2 + -7 8p = -2 + -7 Combine like terms: -2 + -7 = -9 8p = -9 Divide each side by '8'. p = -1.125 Simplifying p = -1.125
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