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Simplifying -6 + (3 + 6k) = -171 Remove parenthesis around (3 + 6k) -6 + 3 + 6k = -171 Combine like terms: -6 + 3 = -3 -3 + 6k = -171 Solving -3 + 6k = -171 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6k = -171 + 3 Combine like terms: -3 + 3 = 0 0 + 6k = -171 + 3 6k = -171 + 3 Combine like terms: -171 + 3 = -168 6k = -168 Divide each side by '6'. k = -28 Simplifying k = -28
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