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Simplifying -14 + -6k + 2k = k + -7 + -2 Combine like terms: -6k + 2k = -4k -14 + -4k = k + -7 + -2 Reorder the terms: -14 + -4k = -7 + -2 + k Combine like terms: -7 + -2 = -9 -14 + -4k = -9 + k Solving -14 + -4k = -9 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -14 + -4k + -1k = -9 + k + -1k Combine like terms: -4k + -1k = -5k -14 + -5k = -9 + k + -1k Combine like terms: k + -1k = 0 -14 + -5k = -9 + 0 -14 + -5k = -9 Add '14' to each side of the equation. -14 + 14 + -5k = -9 + 14 Combine like terms: -14 + 14 = 0 0 + -5k = -9 + 14 -5k = -9 + 14 Combine like terms: -9 + 14 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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