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Simplifying -7 + -1k + 7k = 1 + 2k Combine like terms: -1k + 7k = 6k -7 + 6k = 1 + 2k Solving -7 + 6k = 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 + 6k + -2k = 1 + 2k + -2k Combine like terms: 6k + -2k = 4k -7 + 4k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 -7 + 4k = 1 + 0 -7 + 4k = 1 Add '7' to each side of the equation. -7 + 7 + 4k = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = 1 + 7 4k = 1 + 7 Combine like terms: 1 + 7 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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