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Simplifying -12 + -6k = 6(3k + -2) Reorder the terms: -12 + -6k = 6(-2 + 3k) -12 + -6k = (-2 * 6 + 3k * 6) -12 + -6k = (-12 + 18k) Add '12' to each side of the equation. -12 + 12 + -6k = -12 + 12 + 18k Combine like terms: -12 + 12 = 0 0 + -6k = -12 + 12 + 18k -6k = -12 + 12 + 18k Combine like terms: -12 + 12 = 0 -6k = 0 + 18k -6k = 18k Solving -6k = 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -6k + -18k = 18k + -18k Combine like terms: -6k + -18k = -24k -24k = 18k + -18k Combine like terms: 18k + -18k = 0 -24k = 0 Divide each side by '-24'. k = 0 Simplifying k = 0
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