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Simplifying 83 = 6k + -13 Reorder the terms: 83 = -13 + 6k Solving 83 = -13 + 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. 83 + -6k = -13 + 6k + -6k Combine like terms: 6k + -6k = 0 83 + -6k = -13 + 0 83 + -6k = -13 Add '-83' to each side of the equation. 83 + -83 + -6k = -13 + -83 Combine like terms: 83 + -83 = 0 0 + -6k = -13 + -83 -6k = -13 + -83 Combine like terms: -13 + -83 = -96 -6k = -96 Divide each side by '-6'. k = 16 Simplifying k = 16
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