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Simplifying 6k + 7 = 12k Reorder the terms: 7 + 6k = 12k Solving 7 + 6k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 7 + 6k + -12k = 12k + -12k Combine like terms: 6k + -12k = -6k 7 + -6k = 12k + -12k Combine like terms: 12k + -12k = 0 7 + -6k = 0 Add '-7' to each side of the equation. 7 + -7 + -6k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6k = 0 + -7 -6k = 0 + -7 Combine like terms: 0 + -7 = -7 -6k = -7 Divide each side by '-6'. k = 1.166666667 Simplifying k = 1.166666667
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