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Simplifying -3p + 7 = 6 + -1(11p + 4) Reorder the terms: 7 + -3p = 6 + -1(11p + 4) Reorder the terms: 7 + -3p = 6 + -1(4 + 11p) 7 + -3p = 6 + (4 * -1 + 11p * -1) 7 + -3p = 6 + (-4 + -11p) Combine like terms: 6 + -4 = 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 = -5 8p = -5 Divide each side by '8'. p = -0.625 Simplifying p = -0.625
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