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Simplifying 5 + 10(6 + 6k) = k + -4 5 + (6 * 10 + 6k * 10) = k + -4 5 + (60 + 60k) = k + -4 Combine like terms: 5 + 60 = 65 65 + 60k = k + -4 Reorder the terms: 65 + 60k = -4 + k Solving 65 + 60k = -4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 65 + 60k + -1k = -4 + k + -1k Combine like terms: 60k + -1k = 59k 65 + 59k = -4 + k + -1k Combine like terms: k + -1k = 0 65 + 59k = -4 + 0 65 + 59k = -4 Add '-65' to each side of the equation. 65 + -65 + 59k = -4 + -65 Combine like terms: 65 + -65 = 0 0 + 59k = -4 + -65 59k = -4 + -65 Combine like terms: -4 + -65 = -69 59k = -69 Divide each side by '59'. k = -1.169491525 Simplifying k = -1.169491525
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