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Simplifying 24k + 4 = 10k + -6 + -1k + 2 Reorder the terms: 4 + 24k = 10k + -6 + -1k + 2 Reorder the terms: 4 + 24k = -6 + 2 + 10k + -1k Combine like terms: -6 + 2 = -4 4 + 24k = -4 + 10k + -1k Combine like terms: 10k + -1k = 9k 4 + 24k = -4 + 9k Solving 4 + 24k = -4 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 4 + 24k + -9k = -4 + 9k + -9k Combine like terms: 24k + -9k = 15k 4 + 15k = -4 + 9k + -9k Combine like terms: 9k + -9k = 0 4 + 15k = -4 + 0 4 + 15k = -4 Add '-4' to each side of the equation. 4 + -4 + 15k = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 15k = -4 + -4 15k = -4 + -4 Combine like terms: -4 + -4 = -8 15k = -8 Divide each side by '15'. k = -0.5333333333 Simplifying k = -0.5333333333
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