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Simplifying 21k + -17 + 8k = 4 + -21k + -6 Reorder the terms: -17 + 21k + 8k = 4 + -21k + -6 Combine like terms: 21k + 8k = 29k -17 + 29k = 4 + -21k + -6 Reorder the terms: -17 + 29k = 4 + -6 + -21k Combine like terms: 4 + -6 = -2 -17 + 29k = -2 + -21k Solving -17 + 29k = -2 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -17 + 29k + 21k = -2 + -21k + 21k Combine like terms: 29k + 21k = 50k -17 + 50k = -2 + -21k + 21k Combine like terms: -21k + 21k = 0 -17 + 50k = -2 + 0 -17 + 50k = -2 Add '17' to each side of the equation. -17 + 17 + 50k = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 50k = -2 + 17 50k = -2 + 17 Combine like terms: -2 + 17 = 15 50k = 15 Divide each side by '50'. k = 0.3 Simplifying k = 0.3
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