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