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