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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 = -10 -7k = -10 Divide each side by '-7'. k = 1.428571429 Simplifying k = 1.428571429
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