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Simplifying -11(k + -1) = 3(k + -1) Reorder the terms: -11(-1 + k) = 3(k + -1) (-1 * -11 + k * -11) = 3(k + -1) (11 + -11k) = 3(k + -1) Reorder the terms: 11 + -11k = 3(-1 + k) 11 + -11k = (-1 * 3 + k * 3) 11 + -11k = (-3 + 3k) Solving 11 + -11k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 11 + -11k + -3k = -3 + 3k + -3k Combine like terms: -11k + -3k = -14k 11 + -14k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 11 + -14k = -3 + 0 11 + -14k = -3 Add '-11' to each side of the equation. 11 + -11 + -14k = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -14k = -3 + -11 -14k = -3 + -11 Combine like terms: -3 + -11 = -14 -14k = -14 Divide each side by '-14'. k = 1 Simplifying k = 1
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