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Simplifying -42 + -7k = 14 + -1k Solving -42 + -7k = 14 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -42 + -7k + k = 14 + -1k + k Combine like terms: -7k + k = -6k -42 + -6k = 14 + -1k + k Combine like terms: -1k + k = 0 -42 + -6k = 14 + 0 -42 + -6k = 14 Add '42' to each side of the equation. -42 + 42 + -6k = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -6k = 14 + 42 -6k = 14 + 42 Combine like terms: 14 + 42 = 56 -6k = 56 Divide each side by '-6'. k = -9.333333333 Simplifying k = -9.333333333
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