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Simplifying -18k + -6k = 6(14 + 3k) Combine like terms: -18k + -6k = -24k -24k = 6(14 + 3k) -24k = (14 * 6 + 3k * 6) -24k = (84 + 18k) Solving -24k = 84 + 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. -24k + -18k = 84 + 18k + -18k Combine like terms: -24k + -18k = -42k -42k = 84 + 18k + -18k Combine like terms: 18k + -18k = 0 -42k = 84 + 0 -42k = 84 Divide each side by '-42'. k = -2 Simplifying k = -2
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