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Simplifying 11 + 7p = 4 + -1(9p + 10) Reorder the terms: 11 + 7p = 4 + -1(10 + 9p) 11 + 7p = 4 + (10 * -1 + 9p * -1) 11 + 7p = 4 + (-10 + -9p) Combine like terms: 4 + -10 = -6 11 + 7p = -6 + -9p Solving 11 + 7p = -6 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 11 + 7p + 9p = -6 + -9p + 9p Combine like terms: 7p + 9p = 16p 11 + 16p = -6 + -9p + 9p Combine like terms: -9p + 9p = 0 11 + 16p = -6 + 0 11 + 16p = -6 Add '-11' to each side of the equation. 11 + -11 + 16p = -6 + -11 Combine like terms: 11 + -11 = 0 0 + 16p = -6 + -11 16p = -6 + -11 Combine like terms: -6 + -11 = -17 16p = -17 Divide each side by '16'. p = -1.0625 Simplifying p = -1.0625
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