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Simplifying -3(9k + -10) + 5k = 0 Reorder the terms: -3(-10 + 9k) + 5k = 0 (-10 * -3 + 9k * -3) + 5k = 0 (30 + -27k) + 5k = 0 Combine like terms: -27k + 5k = -22k 30 + -22k = 0 Solving 30 + -22k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -22k = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -22k = 0 + -30 -22k = 0 + -30 Combine like terms: 0 + -30 = -30 -22k = -30 Divide each side by '-22'. k = 1.363636364 Simplifying k = 1.363636364
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