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Simplifying 5k + -10(9k + -4) = 7k + -5 Reorder the terms: 5k + -10(-4 + 9k) = 7k + -5 5k + (-4 * -10 + 9k * -10) = 7k + -5 5k + (40 + -90k) = 7k + -5 Reorder the terms: 40 + 5k + -90k = 7k + -5 Combine like terms: 5k + -90k = -85k 40 + -85k = 7k + -5 Reorder the terms: 40 + -85k = -5 + 7k Solving 40 + -85k = -5 + 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. 40 + -85k + -7k = -5 + 7k + -7k Combine like terms: -85k + -7k = -92k 40 + -92k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 40 + -92k = -5 + 0 40 + -92k = -5 Add '-40' to each side of the equation. 40 + -40 + -92k = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -92k = -5 + -40 -92k = -5 + -40 Combine like terms: -5 + -40 = -45 -92k = -45 Divide each side by '-92'. k = 0.4891304348 Simplifying k = 0.4891304348
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