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Simplifying -3(6 + 3k) = -18 + 7k (6 * -3 + 3k * -3) = -18 + 7k (-18 + -9k) = -18 + 7k Add '18' to each side of the equation. -18 + 18 + -9k = -18 + 18 + 7k Combine like terms: -18 + 18 = 0 0 + -9k = -18 + 18 + 7k -9k = -18 + 18 + 7k Combine like terms: -18 + 18 = 0 -9k = 0 + 7k -9k = 7k Solving -9k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -9k + -7k = 7k + -7k Combine like terms: -9k + -7k = -16k -16k = 7k + -7k Combine like terms: 7k + -7k = 0 -16k = 0 Divide each side by '-16'. k = 0 Simplifying k = 0
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