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Simplifying k + -16 + 7k = 3 + -21k + -5 Reorder the terms: -16 + k + 7k = 3 + -21k + -5 Combine like terms: k + 7k = 8k -16 + 8k = 3 + -21k + -5 Reorder the terms: -16 + 8k = 3 + -5 + -21k Combine like terms: 3 + -5 = -2 -16 + 8k = -2 + -21k Solving -16 + 8k = -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. -16 + 8k + 21k = -2 + -21k + 21k Combine like terms: 8k + 21k = 29k -16 + 29k = -2 + -21k + 21k Combine like terms: -21k + 21k = 0 -16 + 29k = -2 + 0 -16 + 29k = -2 Add '16' to each side of the equation. -16 + 16 + 29k = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 29k = -2 + 16 29k = -2 + 16 Combine like terms: -2 + 16 = 14 29k = 14 Divide each side by '29'. k = 0.4827586207 Simplifying k = 0.4827586207
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