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Simplifying -19 + -6k = 6(1 + -3k) -19 + -6k = (1 * 6 + -3k * 6) -19 + -6k = (6 + -18k) Solving -19 + -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. -19 + -6k + 18k = 6 + -18k + 18k Combine like terms: -6k + 18k = 12k -19 + 12k = 6 + -18k + 18k Combine like terms: -18k + 18k = 0 -19 + 12k = 6 + 0 -19 + 12k = 6 Add '19' to each side of the equation. -19 + 19 + 12k = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 12k = 6 + 19 12k = 6 + 19 Combine like terms: 6 + 19 = 25 12k = 25 Divide each side by '12'. k = 2.083333333 Simplifying k = 2.083333333
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