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Simplifying 468 = -6k + 11(5k + -2) Reorder the terms: 468 = -6k + 11(-2 + 5k) 468 = -6k + (-2 * 11 + 5k * 11) 468 = -6k + (-22 + 55k) Reorder the terms: 468 = -22 + -6k + 55k Combine like terms: -6k + 55k = 49k 468 = -22 + 49k Solving 468 = -22 + 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. 468 + -49k = -22 + 49k + -49k Combine like terms: 49k + -49k = 0 468 + -49k = -22 + 0 468 + -49k = -22 Add '-468' to each side of the equation. 468 + -468 + -49k = -22 + -468 Combine like terms: 468 + -468 = 0 0 + -49k = -22 + -468 -49k = -22 + -468 Combine like terms: -22 + -468 = -490 -49k = -490 Divide each side by '-49'. k = 10 Simplifying k = 10
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