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Simplifying 4k + -12 + -6 = 2k + -6 + 6k + 2 Reorder the terms: -12 + -6 + 4k = 2k + -6 + 6k + 2 Combine like terms: -12 + -6 = -18 -18 + 4k = 2k + -6 + 6k + 2 Reorder the terms: -18 + 4k = -6 + 2 + 2k + 6k Combine like terms: -6 + 2 = -4 -18 + 4k = -4 + 2k + 6k Combine like terms: 2k + 6k = 8k -18 + 4k = -4 + 8k Solving -18 + 4k = -4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -18 + 4k + -8k = -4 + 8k + -8k Combine like terms: 4k + -8k = -4k -18 + -4k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 -18 + -4k = -4 + 0 -18 + -4k = -4 Add '18' to each side of the equation. -18 + 18 + -4k = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -4k = -4 + 18 -4k = -4 + 18 Combine like terms: -4 + 18 = 14 -4k = 14 Divide each side by '-4'. k = -3.5 Simplifying k = -3.5
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