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Simplifying 11p + 5(p + -1) = 9p + -12 Reorder the terms: 11p + 5(-1 + p) = 9p + -12 11p + (-1 * 5 + p * 5) = 9p + -12 11p + (-5 + 5p) = 9p + -12 Reorder the terms: -5 + 11p + 5p = 9p + -12 Combine like terms: 11p + 5p = 16p -5 + 16p = 9p + -12 Reorder the terms: -5 + 16p = -12 + 9p Solving -5 + 16p = -12 + 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. -5 + 16p + -9p = -12 + 9p + -9p Combine like terms: 16p + -9p = 7p -5 + 7p = -12 + 9p + -9p Combine like terms: 9p + -9p = 0 -5 + 7p = -12 + 0 -5 + 7p = -12 Add '5' to each side of the equation. -5 + 5 + 7p = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 7p = -12 + 5 7p = -12 + 5 Combine like terms: -12 + 5 = -7 7p = -7 Divide each side by '7'. p = -1 Simplifying p = -1
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