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Simplifying k + 4 + -5k + 2 = 3k + -2 Reorder the terms: 4 + 2 + k + -5k = 3k + -2 Combine like terms: 4 + 2 = 6 6 + k + -5k = 3k + -2 Combine like terms: k + -5k = -4k 6 + -4k = 3k + -2 Reorder the terms: 6 + -4k = -2 + 3k Solving 6 + -4k = -2 + 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. 6 + -4k + -3k = -2 + 3k + -3k Combine like terms: -4k + -3k = -7k 6 + -7k = -2 + 3k + -3k Combine like terms: 3k + -3k = 0 6 + -7k = -2 + 0 6 + -7k = -2 Add '-6' to each side of the equation. 6 + -6 + -7k = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = -2 + -6 -7k = -2 + -6 Combine like terms: -2 + -6 = -8 -7k = -8 Divide each side by '-7'. k = 1.142857143 Simplifying k = 1.142857143
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