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Simplifying -2(-12 + -6p) = 11(p + 1) + 5 (-12 * -2 + -6p * -2) = 11(p + 1) + 5 (24 + 12p) = 11(p + 1) + 5 Reorder the terms: 24 + 12p = 11(1 + p) + 5 24 + 12p = (1 * 11 + p * 11) + 5 24 + 12p = (11 + 11p) + 5 Reorder the terms: 24 + 12p = 11 + 5 + 11p Combine like terms: 11 + 5 = 16 24 + 12p = 16 + 11p Solving 24 + 12p = 16 + 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. 24 + 12p + -11p = 16 + 11p + -11p Combine like terms: 12p + -11p = 1p 24 + 1p = 16 + 11p + -11p Combine like terms: 11p + -11p = 0 24 + 1p = 16 + 0 24 + 1p = 16 Add '-24' to each side of the equation. 24 + -24 + 1p = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 1p = 16 + -24 1p = 16 + -24 Combine like terms: 16 + -24 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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