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Simplifying -1p + 7 = 6 + -1(11p + 7) Reorder the terms: 7 + -1p = 6 + -1(11p + 7) Reorder the terms: 7 + -1p = 6 + -1(7 + 11p) 7 + -1p = 6 + (7 * -1 + 11p * -1) 7 + -1p = 6 + (-7 + -11p) Combine like terms: 6 + -7 = -1 7 + -1p = -1 + -11p Solving 7 + -1p = -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. 7 + -1p + 11p = -1 + -11p + 11p Combine like terms: -1p + 11p = 10p 7 + 10p = -1 + -11p + 11p Combine like terms: -11p + 11p = 0 7 + 10p = -1 + 0 7 + 10p = -1 Add '-7' to each side of the equation. 7 + -7 + 10p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 10p = -1 + -7 10p = -1 + -7 Combine like terms: -1 + -7 = -8 10p = -8 Divide each side by '10'. p = -0.8 Simplifying p = -0.8
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