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Simplifying -2k + 5 + 2k + -5 = -1 + -1 + 6k + 2 Reorder the terms: 5 + -5 + -2k + 2k = -1 + -1 + 6k + 2 Combine like terms: 5 + -5 = 0 0 + -2k + 2k = -1 + -1 + 6k + 2 -2k + 2k = -1 + -1 + 6k + 2 Combine like terms: -2k + 2k = 0 0 = -1 + -1 + 6k + 2 Reorder the terms: 0 = -1 + -1 + 2 + 6k Combine like terms: -1 + -1 = -2 0 = -2 + 2 + 6k Combine like terms: -2 + 2 = 0 0 = 0 + 6k 0 = 6k Solving 0 = 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. 0 + -6k = 6k + -6k Remove the zero: -6k = 6k + -6k Combine like terms: 6k + -6k = 0 -6k = 0 Divide each side by '-6'. k = 0 Simplifying k = 0
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