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Simplifying 2k + 14 = 6k + -22 Reorder the terms: 14 + 2k = 6k + -22 Reorder the terms: 14 + 2k = -22 + 6k Solving 14 + 2k = -22 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 14 + 2k + -6k = -22 + 6k + -6k Combine like terms: 2k + -6k = -4k 14 + -4k = -22 + 6k + -6k Combine like terms: 6k + -6k = 0 14 + -4k = -22 + 0 14 + -4k = -22 Add '-14' to each side of the equation. 14 + -14 + -4k = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -4k = -22 + -14 -4k = -22 + -14 Combine like terms: -22 + -14 = -36 -4k = -36 Divide each side by '-4'. k = 9 Simplifying k = 9
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