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Simplifying -1(6 + -12k) = -4k + 5(2k + -6) (6 * -1 + -12k * -1) = -4k + 5(2k + -6) (-6 + 12k) = -4k + 5(2k + -6) Reorder the terms: -6 + 12k = -4k + 5(-6 + 2k) -6 + 12k = -4k + (-6 * 5 + 2k * 5) -6 + 12k = -4k + (-30 + 10k) Reorder the terms: -6 + 12k = -30 + -4k + 10k Combine like terms: -4k + 10k = 6k -6 + 12k = -30 + 6k Solving -6 + 12k = -30 + 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 + 12k + -6k = -30 + 6k + -6k Combine like terms: 12k + -6k = 6k -6 + 6k = -30 + 6k + -6k Combine like terms: 6k + -6k = 0 -6 + 6k = -30 + 0 -6 + 6k = -30 Add '6' to each side of the equation. -6 + 6 + 6k = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 6k = -30 + 6 6k = -30 + 6 Combine like terms: -30 + 6 = -24 6k = -24 Divide each side by '6'. k = -4 Simplifying k = -4
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