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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 = -12 -12k = -12 Divide each side by '-12'. k = 1 Simplifying k = 1
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