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Simplifying 12 + 4k + -10k = -8k + 6k Combine like terms: 4k + -10k = -6k 12 + -6k = -8k + 6k Combine like terms: -8k + 6k = -2k 12 + -6k = -2k Solving 12 + -6k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 12 + -6k + 2k = -2k + 2k Combine like terms: -6k + 2k = -4k 12 + -4k = -2k + 2k Combine like terms: -2k + 2k = 0 12 + -4k = 0 Add '-12' to each side of the equation. 12 + -12 + -4k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4k = 0 + -12 -4k = 0 + -12 Combine like terms: 0 + -12 = -12 -4k = -12 Divide each side by '-4'. k = 3 Simplifying k = 3
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