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Simplifying -6k + -22 = -2(7k + -7) + -4k Reorder the terms: -22 + -6k = -2(7k + -7) + -4k Reorder the terms: -22 + -6k = -2(-7 + 7k) + -4k -22 + -6k = (-7 * -2 + 7k * -2) + -4k -22 + -6k = (14 + -14k) + -4k Combine like terms: -14k + -4k = -18k -22 + -6k = 14 + -18k Solving -22 + -6k = 14 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -22 + -6k + 18k = 14 + -18k + 18k Combine like terms: -6k + 18k = 12k -22 + 12k = 14 + -18k + 18k Combine like terms: -18k + 18k = 0 -22 + 12k = 14 + 0 -22 + 12k = 14 Add '22' to each side of the equation. -22 + 22 + 12k = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 12k = 14 + 22 12k = 14 + 22 Combine like terms: 14 + 22 = 36 12k = 36 Divide each side by '12'. k = 3 Simplifying k = 3
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