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Simplifying 2k + -6 + 2k = -1 + 6k + 27 Reorder the terms: -6 + 2k + 2k = -1 + 6k + 27 Combine like terms: 2k + 2k = 4k -6 + 4k = -1 + 6k + 27 Reorder the terms: -6 + 4k = -1 + 27 + 6k Combine like terms: -1 + 27 = 26 -6 + 4k = 26 + 6k Solving -6 + 4k = 26 + 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. -6 + 4k + -6k = 26 + 6k + -6k Combine like terms: 4k + -6k = -2k -6 + -2k = 26 + 6k + -6k Combine like terms: 6k + -6k = 0 -6 + -2k = 26 + 0 -6 + -2k = 26 Add '6' to each side of the equation. -6 + 6 + -2k = 26 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = 26 + 6 -2k = 26 + 6 Combine like terms: 26 + 6 = 32 -2k = 32 Divide each side by '-2'. k = -16 Simplifying k = -16
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