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Simplifying 2(9 + -3k) = 6(k + 3) (9 * 2 + -3k * 2) = 6(k + 3) (18 + -6k) = 6(k + 3) Reorder the terms: 18 + -6k = 6(3 + k) 18 + -6k = (3 * 6 + k * 6) 18 + -6k = (18 + 6k) Add '-18' to each side of the equation. 18 + -18 + -6k = 18 + -18 + 6k Combine like terms: 18 + -18 = 0 0 + -6k = 18 + -18 + 6k -6k = 18 + -18 + 6k Combine like terms: 18 + -18 = 0 -6k = 0 + 6k -6k = 6k Solving -6k = 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. -6k + -6k = 6k + -6k Combine like terms: -6k + -6k = -12k -12k = 6k + -6k Combine like terms: 6k + -6k = 0 -12k = 0 Divide each side by '-12'. k = 0 Simplifying k = 0
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