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Simplifying -35 + 7k = 3(2k + -6) Reorder the terms: -35 + 7k = 3(-6 + 2k) -35 + 7k = (-6 * 3 + 2k * 3) -35 + 7k = (-18 + 6k) Solving -35 + 7k = -18 + 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. -35 + 7k + -6k = -18 + 6k + -6k Combine like terms: 7k + -6k = 1k -35 + 1k = -18 + 6k + -6k Combine like terms: 6k + -6k = 0 -35 + 1k = -18 + 0 -35 + 1k = -18 Add '35' to each side of the equation. -35 + 35 + 1k = -18 + 35 Combine like terms: -35 + 35 = 0 0 + 1k = -18 + 35 1k = -18 + 35 Combine like terms: -18 + 35 = 17 1k = 17 Divide each side by '1'. k = 17 Simplifying k = 17
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