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Simplifying 11.38 + 7k = 8(k + 4) Reorder the terms: 11.38 + 7k = 8(4 + k) 11.38 + 7k = (4 * 8 + k * 8) 11.38 + 7k = (32 + 8k) Solving 11.38 + 7k = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 11.38 + 7k + -8k = 32 + 8k + -8k Combine like terms: 7k + -8k = -1k 11.38 + -1k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 11.38 + -1k = 32 + 0 11.38 + -1k = 32 Add '-11.38' to each side of the equation. 11.38 + -11.38 + -1k = 32 + -11.38 Combine like terms: 11.38 + -11.38 = 0.00 0.00 + -1k = 32 + -11.38 -1k = 32 + -11.38 Combine like terms: 32 + -11.38 = 20.62 -1k = 20.62 Divide each side by '-1'. k = -20.62 Simplifying k = -20.62
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