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Simplifying -1 + -6(k + -2) = 6 + -5k Reorder the terms: -1 + -6(-2 + k) = 6 + -5k -1 + (-2 * -6 + k * -6) = 6 + -5k -1 + (12 + -6k) = 6 + -5k Combine like terms: -1 + 12 = 11 11 + -6k = 6 + -5k Solving 11 + -6k = 6 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 11 + -6k + 5k = 6 + -5k + 5k Combine like terms: -6k + 5k = -1k 11 + -1k = 6 + -5k + 5k Combine like terms: -5k + 5k = 0 11 + -1k = 6 + 0 11 + -1k = 6 Add '-11' to each side of the equation. 11 + -11 + -1k = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -1k = 6 + -11 -1k = 6 + -11 Combine like terms: 6 + -11 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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