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Simplifying -6k + 13 = 83 Reorder the terms: 13 + -6k = 83 Solving 13 + -6k = 83 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6k = 83 + -13 Combine like terms: 13 + -13 = 0 0 + -6k = 83 + -13 -6k = 83 + -13 Combine like terms: 83 + -13 = 70 -6k = 70 Divide each side by '-6'. k = -11.66666667 Simplifying k = -11.66666667
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