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Simplifying 4k + 33 = 1 + -3k Reorder the terms: 33 + 4k = 1 + -3k Solving 33 + 4k = 1 + -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. 33 + 4k + 3k = 1 + -3k + 3k Combine like terms: 4k + 3k = 7k 33 + 7k = 1 + -3k + 3k Combine like terms: -3k + 3k = 0 33 + 7k = 1 + 0 33 + 7k = 1 Add '-33' to each side of the equation. 33 + -33 + 7k = 1 + -33 Combine like terms: 33 + -33 = 0 0 + 7k = 1 + -33 7k = 1 + -33 Combine like terms: 1 + -33 = -32 7k = -32 Divide each side by '7'. k = -4.571428571 Simplifying k = -4.571428571
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