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Simplifying 5k + -10(9k + -4) = 7k + -5(10 + -3k) Reorder the terms: 5k + -10(-4 + 9k) = 7k + -5(10 + -3k) 5k + (-4 * -10 + 9k * -10) = 7k + -5(10 + -3k) 5k + (40 + -90k) = 7k + -5(10 + -3k) Reorder the terms: 40 + 5k + -90k = 7k + -5(10 + -3k) Combine like terms: 5k + -90k = -85k 40 + -85k = 7k + -5(10 + -3k) 40 + -85k = 7k + (10 * -5 + -3k * -5) 40 + -85k = 7k + (-50 + 15k) Reorder the terms: 40 + -85k = -50 + 7k + 15k Combine like terms: 7k + 15k = 22k 40 + -85k = -50 + 22k Solving 40 + -85k = -50 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. 40 + -85k + -22k = -50 + 22k + -22k Combine like terms: -85k + -22k = -107k 40 + -107k = -50 + 22k + -22k Combine like terms: 22k + -22k = 0 40 + -107k = -50 + 0 40 + -107k = -50 Add '-40' to each side of the equation. 40 + -40 + -107k = -50 + -40 Combine like terms: 40 + -40 = 0 0 + -107k = -50 + -40 -107k = -50 + -40 Combine like terms: -50 + -40 = -90 -107k = -90 Divide each side by '-107'. k = 0.8411214953 Simplifying k = 0.8411214953
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