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Simplifying -18 + -6k = 6(-1 + 3k) -18 + -6k = (-1 * 6 + 3k * 6) -18 + -6k = (-6 + 18k) Solving -18 + -6k = -6 + 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. -18 + -6k + -18k = -6 + 18k + -18k Combine like terms: -6k + -18k = -24k -18 + -24k = -6 + 18k + -18k Combine like terms: 18k + -18k = 0 -18 + -24k = -6 + 0 -18 + -24k = -6 Add '18' to each side of the equation. -18 + 18 + -24k = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -24k = -6 + 18 -24k = -6 + 18 Combine like terms: -6 + 18 = 12 -24k = 12 Divide each side by '-24'. k = -0.5 Simplifying k = -0.5
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