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Simplifying -3(-7k + -6) = 2k + 18 Reorder the terms: -3(-6 + -7k) = 2k + 18 (-6 * -3 + -7k * -3) = 2k + 18 (18 + 21k) = 2k + 18 Reorder the terms: 18 + 21k = 18 + 2k Add '-18' to each side of the equation. 18 + -18 + 21k = 18 + -18 + 2k Combine like terms: 18 + -18 = 0 0 + 21k = 18 + -18 + 2k 21k = 18 + -18 + 2k Combine like terms: 18 + -18 = 0 21k = 0 + 2k 21k = 2k Solving 21k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 21k + -2k = 2k + -2k Combine like terms: 21k + -2k = 19k 19k = 2k + -2k Combine like terms: 2k + -2k = 0 19k = 0 Divide each side by '19'. k = 0 Simplifying k = 0
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