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Simplifying 175 + 12(12x + -33) + -7k + 14x + -23 = 0 Reorder the terms: 175 + 12(-33 + 12x) + -7k + 14x + -23 = 0 175 + (-33 * 12 + 12x * 12) + -7k + 14x + -23 = 0 175 + (-396 + 144x) + -7k + 14x + -23 = 0 Reorder the terms: 175 + -396 + -23 + -7k + 144x + 14x = 0 Combine like terms: 175 + -396 = -221 -221 + -23 + -7k + 144x + 14x = 0 Combine like terms: -221 + -23 = -244 -244 + -7k + 144x + 14x = 0 Combine like terms: 144x + 14x = 158x -244 + -7k + 158x = 0 Solving -244 + -7k + 158x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '244' to each side of the equation. -244 + -7k + 244 + 158x = 0 + 244 Reorder the terms: -244 + 244 + -7k + 158x = 0 + 244 Combine like terms: -244 + 244 = 0 0 + -7k + 158x = 0 + 244 -7k + 158x = 0 + 244 Combine like terms: 0 + 244 = 244 -7k + 158x = 244 Add '-158x' to each side of the equation. -7k + 158x + -158x = 244 + -158x Combine like terms: 158x + -158x = 0 -7k + 0 = 244 + -158x -7k = 244 + -158x Divide each side by '-7'. k = -34.85714286 + 22.57142857x Simplifying k = -34.85714286 + 22.57142857x
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