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Simplifying 7k + -6 + 4(k + 10) = 50 Reorder the terms: 7k + -6 + 4(10 + k) = 50 7k + -6 + (10 * 4 + k * 4) = 50 7k + -6 + (40 + 4k) = 50 Reorder the terms: -6 + 40 + 7k + 4k = 50 Combine like terms: -6 + 40 = 34 34 + 7k + 4k = 50 Combine like terms: 7k + 4k = 11k 34 + 11k = 50 Solving 34 + 11k = 50 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 11k = 50 + -34 Combine like terms: 34 + -34 = 0 0 + 11k = 50 + -34 11k = 50 + -34 Combine like terms: 50 + -34 = 16 11k = 16 Divide each side by '11'. k = 1.454545455 Simplifying k = 1.454545455
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