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Simplifying 38 + 7k = 8(1 + 4) Combine like terms: 1 + 4 = 5 38 + 7k = 8(5) Multiply 8 * 5 38 + 7k = 40 Solving 38 + 7k = 40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 7k = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 7k = 40 + -38 7k = 40 + -38 Combine like terms: 40 + -38 = 2 7k = 2 Divide each side by '7'. k = 0.2857142857 Simplifying k = 0.2857142857
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