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Simplifying 7 + -6k = 12 + -1k Solving 7 + -6k = 12 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 7 + -6k + k = 12 + -1k + k Combine like terms: -6k + k = -5k 7 + -5k = 12 + -1k + k Combine like terms: -1k + k = 0 7 + -5k = 12 + 0 7 + -5k = 12 Add '-7' to each side of the equation. 7 + -7 + -5k = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5k = 12 + -7 -5k = 12 + -7 Combine like terms: 12 + -7 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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