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Simplifying -3 + (6k + -3) = 8 + 7k Reorder the terms: -3 + (-3 + 6k) = 8 + 7k Remove parenthesis around (-3 + 6k) -3 + -3 + 6k = 8 + 7k Combine like terms: -3 + -3 = -6 -6 + 6k = 8 + 7k Solving -6 + 6k = 8 + 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. -6 + 6k + -7k = 8 + 7k + -7k Combine like terms: 6k + -7k = -1k -6 + -1k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 -6 + -1k = 8 + 0 -6 + -1k = 8 Add '6' to each side of the equation. -6 + 6 + -1k = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = 8 + 6 -1k = 8 + 6 Combine like terms: 8 + 6 = 14 -1k = 14 Divide each side by '-1'. k = -14 Simplifying k = -14
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