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Simplifying 1 + -7k = -14 + -4k Solving 1 + -7k = -14 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 1 + -7k + 4k = -14 + -4k + 4k Combine like terms: -7k + 4k = -3k 1 + -3k = -14 + -4k + 4k Combine like terms: -4k + 4k = 0 1 + -3k = -14 + 0 1 + -3k = -14 Add '-1' to each side of the equation. 1 + -1 + -3k = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = -14 + -1 -3k = -14 + -1 Combine like terms: -14 + -1 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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