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Simplifying 3k + -7 + 7k = 31 + -24k + -5 Reorder the terms: -7 + 3k + 7k = 31 + -24k + -5 Combine like terms: 3k + 7k = 10k -7 + 10k = 31 + -24k + -5 Reorder the terms: -7 + 10k = 31 + -5 + -24k Combine like terms: 31 + -5 = 26 -7 + 10k = 26 + -24k Solving -7 + 10k = 26 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -7 + 10k + 24k = 26 + -24k + 24k Combine like terms: 10k + 24k = 34k -7 + 34k = 26 + -24k + 24k Combine like terms: -24k + 24k = 0 -7 + 34k = 26 + 0 -7 + 34k = 26 Add '7' to each side of the equation. -7 + 7 + 34k = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 34k = 26 + 7 34k = 26 + 7 Combine like terms: 26 + 7 = 33 34k = 33 Divide each side by '34'. k = 0.9705882353 Simplifying k = 0.9705882353
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