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Simplifying 114 + -5k = 7k + 6 Reorder the terms: 114 + -5k = 6 + 7k Solving 114 + -5k = 6 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 114 + -5k + -7k = 6 + 7k + -7k Combine like terms: -5k + -7k = -12k 114 + -12k = 6 + 7k + -7k Combine like terms: 7k + -7k = 0 114 + -12k = 6 + 0 114 + -12k = 6 Add '-114' to each side of the equation. 114 + -114 + -12k = 6 + -114 Combine like terms: 114 + -114 = 0 0 + -12k = 6 + -114 -12k = 6 + -114 Combine like terms: 6 + -114 = -108 -12k = -108 Divide each side by '-12'. k = 9 Simplifying k = 9
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