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Simplifying 7 = 1 + -1k + -1k Combine like terms: -1k + -1k = -2k 7 = 1 + -2k Solving 7 = 1 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 7 + 2k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 7 + 2k = 1 + 0 7 + 2k = 1 Add '-7' to each side of the equation. 7 + -7 + 2k = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 1 + -7 2k = 1 + -7 Combine like terms: 1 + -7 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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