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Simplifying 18k + -12 + -6k = -6(-3k + 10) Reorder the terms: -12 + 18k + -6k = -6(-3k + 10) Combine like terms: 18k + -6k = 12k -12 + 12k = -6(-3k + 10) Reorder the terms: -12 + 12k = -6(10 + -3k) -12 + 12k = (10 * -6 + -3k * -6) -12 + 12k = (-60 + 18k) Solving -12 + 12k = -60 + 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. -12 + 12k + -18k = -60 + 18k + -18k Combine like terms: 12k + -18k = -6k -12 + -6k = -60 + 18k + -18k Combine like terms: 18k + -18k = 0 -12 + -6k = -60 + 0 -12 + -6k = -60 Add '12' to each side of the equation. -12 + 12 + -6k = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -6k = -60 + 12 -6k = -60 + 12 Combine like terms: -60 + 12 = -48 -6k = -48 Divide each side by '-6'. k = 8 Simplifying k = 8
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