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