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Simplifying 2(-1k + -6) + 7k = k Reorder the terms: 2(-6 + -1k) + 7k = k (-6 * 2 + -1k * 2) + 7k = k (-12 + -2k) + 7k = k Combine like terms: -2k + 7k = 5k -12 + 5k = k Solving -12 + 5k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 5k + -1k = k + -1k Combine like terms: 5k + -1k = 4k -12 + 4k = k + -1k Combine like terms: k + -1k = 0 -12 + 4k = 0 Add '12' to each side of the equation. -12 + 12 + 4k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4k = 0 + 12 4k = 0 + 12 Combine like terms: 0 + 12 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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