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Simplifying -18 + -6k = 61 + 3k Solving -18 + -6k = 61 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -18 + -6k + -3k = 61 + 3k + -3k Combine like terms: -6k + -3k = -9k -18 + -9k = 61 + 3k + -3k Combine like terms: 3k + -3k = 0 -18 + -9k = 61 + 0 -18 + -9k = 61 Add '18' to each side of the equation. -18 + 18 + -9k = 61 + 18 Combine like terms: -18 + 18 = 0 0 + -9k = 61 + 18 -9k = 61 + 18 Combine like terms: 61 + 18 = 79 -9k = 79 Divide each side by '-9'. k = -8.777777778 Simplifying k = -8.777777778
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