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Simplifying -6 + -11(p + -2) = 2(1 + -5p) + -10 Reorder the terms: -6 + -11(-2 + p) = 2(1 + -5p) + -10 -6 + (-2 * -11 + p * -11) = 2(1 + -5p) + -10 -6 + (22 + -11p) = 2(1 + -5p) + -10 Combine like terms: -6 + 22 = 16 16 + -11p = 2(1 + -5p) + -10 16 + -11p = (1 * 2 + -5p * 2) + -10 16 + -11p = (2 + -10p) + -10 Reorder the terms: 16 + -11p = 2 + -10 + -10p Combine like terms: 2 + -10 = -8 16 + -11p = -8 + -10p Solving 16 + -11p = -8 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 16 + -11p + 10p = -8 + -10p + 10p Combine like terms: -11p + 10p = -1p 16 + -1p = -8 + -10p + 10p Combine like terms: -10p + 10p = 0 16 + -1p = -8 + 0 16 + -1p = -8 Add '-16' to each side of the equation. 16 + -16 + -1p = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -1p = -8 + -16 -1p = -8 + -16 Combine like terms: -8 + -16 = -24 -1p = -24 Divide each side by '-1'. p = 24 Simplifying p = 24
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