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Simplifying 3k + -5 + -10k = 23 + -1k Reorder the terms: -5 + 3k + -10k = 23 + -1k Combine like terms: 3k + -10k = -7k -5 + -7k = 23 + -1k Solving -5 + -7k = 23 + -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. -5 + -7k + k = 23 + -1k + k Combine like terms: -7k + k = -6k -5 + -6k = 23 + -1k + k Combine like terms: -1k + k = 0 -5 + -6k = 23 + 0 -5 + -6k = 23 Add '5' to each side of the equation. -5 + 5 + -6k = 23 + 5 Combine like terms: -5 + 5 = 0 0 + -6k = 23 + 5 -6k = 23 + 5 Combine like terms: 23 + 5 = 28 -6k = 28 Divide each side by '-6'. k = -4.666666667 Simplifying k = -4.666666667
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