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Simplifying 7 = 6 + 3k + -4k Combine like terms: 3k + -4k = -1k 7 = 6 + -1k Solving 7 = 6 + -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 + k = 6 + -1k + k Combine like terms: -1k + k = 0 7 + k = 6 + 0 7 + k = 6 Add '-7' to each side of the equation. 7 + -7 + k = 6 + -7 Combine like terms: 7 + -7 = 0 0 + k = 6 + -7 k = 6 + -7 Combine like terms: 6 + -7 = -1 k = -1 Simplifying k = -1
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