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Simplifying -10k + 1 = 40 + -7k Reorder the terms: 1 + -10k = 40 + -7k Solving 1 + -10k = 40 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 1 + -10k + 7k = 40 + -7k + 7k Combine like terms: -10k + 7k = -3k 1 + -3k = 40 + -7k + 7k Combine like terms: -7k + 7k = 0 1 + -3k = 40 + 0 1 + -3k = 40 Add '-1' to each side of the equation. 1 + -1 + -3k = 40 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = 40 + -1 -3k = 40 + -1 Combine like terms: 40 + -1 = 39 -3k = 39 Divide each side by '-3'. k = -13 Simplifying k = -13
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