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Simplifying -18 + -6k = 6(1 + k) -18 + -6k = (1 * 6 + k * 6) -18 + -6k = (6 + 6k) Solving -18 + -6k = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -18 + -6k + -6k = 6 + 6k + -6k Combine like terms: -6k + -6k = -12k -18 + -12k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 -18 + -12k = 6 + 0 -18 + -12k = 6 Add '18' to each side of the equation. -18 + 18 + -12k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -12k = 6 + 18 -12k = 6 + 18 Combine like terms: 6 + 18 = 24 -12k = 24 Divide each side by '-12'. k = -2 Simplifying k = -2
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