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Simplifying -1(4k + -2) + -1k = 2(k + -6) Reorder the terms: -1(-2 + 4k) + -1k = 2(k + -6) (-2 * -1 + 4k * -1) + -1k = 2(k + -6) (2 + -4k) + -1k = 2(k + -6) Combine like terms: -4k + -1k = -5k 2 + -5k = 2(k + -6) Reorder the terms: 2 + -5k = 2(-6 + k) 2 + -5k = (-6 * 2 + k * 2) 2 + -5k = (-12 + 2k) Solving 2 + -5k = -12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 2 + -5k + -2k = -12 + 2k + -2k Combine like terms: -5k + -2k = -7k 2 + -7k = -12 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + -7k = -12 + 0 2 + -7k = -12 Add '-2' to each side of the equation. 2 + -2 + -7k = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7k = -12 + -2 -7k = -12 + -2 Combine like terms: -12 + -2 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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