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Simplifying 3(0.75) + -1 = 7k + 2 Multiply 3 * 0.75 2.25 + -1 = 7k + 2 Combine like terms: 2.25 + -1 = 1.25 1.25 = 7k + 2 Reorder the terms: 1.25 = 2 + 7k Solving 1.25 = 2 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 1.25 + -7k = 2 + 7k + -7k Combine like terms: 7k + -7k = 0 1.25 + -7k = 2 + 0 1.25 + -7k = 2 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -7k = 2 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -7k = 2 + -1.25 -7k = 2 + -1.25 Combine like terms: 2 + -1.25 = 0.75 -7k = 0.75 Divide each side by '-7'. k = -0.1071428571 Simplifying k = -0.1071428571
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