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Simplifying 6(k + -2) = 2(8k + -6) + -1k Reorder the terms: 6(-2 + k) = 2(8k + -6) + -1k (-2 * 6 + k * 6) = 2(8k + -6) + -1k (-12 + 6k) = 2(8k + -6) + -1k Reorder the terms: -12 + 6k = 2(-6 + 8k) + -1k -12 + 6k = (-6 * 2 + 8k * 2) + -1k -12 + 6k = (-12 + 16k) + -1k Combine like terms: 16k + -1k = 15k -12 + 6k = -12 + 15k Add '12' to each side of the equation. -12 + 12 + 6k = -12 + 12 + 15k Combine like terms: -12 + 12 = 0 0 + 6k = -12 + 12 + 15k 6k = -12 + 12 + 15k Combine like terms: -12 + 12 = 0 6k = 0 + 15k 6k = 15k Solving 6k = 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 6k + -15k = 15k + -15k Combine like terms: 6k + -15k = -9k -9k = 15k + -15k Combine like terms: 15k + -15k = 0 -9k = 0 Divide each side by '-9'. k = 0 Simplifying k = 0
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