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Simplifying 83 = -3k + 5 Reorder the terms: 83 = 5 + -3k Solving 83 = 5 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 83 + 3k = 5 + -3k + 3k Combine like terms: -3k + 3k = 0 83 + 3k = 5 + 0 83 + 3k = 5 Add '-83' to each side of the equation. 83 + -83 + 3k = 5 + -83 Combine like terms: 83 + -83 = 0 0 + 3k = 5 + -83 3k = 5 + -83 Combine like terms: 5 + -83 = -78 3k = -78 Divide each side by '3'. k = -26 Simplifying k = -26
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