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Simplifying 2(k + -6) = 4k + -3(k + 4) Reorder the terms: 2(-6 + k) = 4k + -3(k + 4) (-6 * 2 + k * 2) = 4k + -3(k + 4) (-12 + 2k) = 4k + -3(k + 4) Reorder the terms: -12 + 2k = 4k + -3(4 + k) -12 + 2k = 4k + (4 * -3 + k * -3) -12 + 2k = 4k + (-12 + -3k) Reorder the terms: -12 + 2k = -12 + 4k + -3k Combine like terms: 4k + -3k = 1k -12 + 2k = -12 + 1k Add '12' to each side of the equation. -12 + 12 + 2k = -12 + 12 + 1k Combine like terms: -12 + 12 = 0 0 + 2k = -12 + 12 + 1k 2k = -12 + 12 + 1k Combine like terms: -12 + 12 = 0 2k = 0 + 1k 2k = 1k Solving 2k = 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2k + -1k = 1k + -1k Combine like terms: 2k + -1k = 1k 1k = 1k + -1k Combine like terms: 1k + -1k = 0 1k = 0 Divide each side by '1'. k = 0 Simplifying k = 0
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