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Simplifying -5k + 7 + 2k + -3k = k + -8 Reorder the terms: 7 + -5k + 2k + -3k = k + -8 Combine like terms: -5k + 2k = -3k 7 + -3k + -3k = k + -8 Combine like terms: -3k + -3k = -6k 7 + -6k = k + -8 Reorder the terms: 7 + -6k = -8 + k Solving 7 + -6k = -8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 7 + -6k + -1k = -8 + k + -1k Combine like terms: -6k + -1k = -7k 7 + -7k = -8 + k + -1k Combine like terms: k + -1k = 0 7 + -7k = -8 + 0 7 + -7k = -8 Add '-7' to each side of the equation. 7 + -7 + -7k = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -7k = -8 + -7 -7k = -8 + -7 Combine like terms: -8 + -7 = -15 -7k = -15 Divide each side by '-7'. k = 2.142857143 Simplifying k = 2.142857143
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