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Simplifying 3 + -4(-2 + -4k) + 4k = 6k + -9 3 + (-2 * -4 + -4k * -4) + 4k = 6k + -9 3 + (8 + 16k) + 4k = 6k + -9 Combine like terms: 3 + 8 = 11 11 + 16k + 4k = 6k + -9 Combine like terms: 16k + 4k = 20k 11 + 20k = 6k + -9 Reorder the terms: 11 + 20k = -9 + 6k Solving 11 + 20k = -9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 11 + 20k + -6k = -9 + 6k + -6k Combine like terms: 20k + -6k = 14k 11 + 14k = -9 + 6k + -6k Combine like terms: 6k + -6k = 0 11 + 14k = -9 + 0 11 + 14k = -9 Add '-11' to each side of the equation. 11 + -11 + 14k = -9 + -11 Combine like terms: 11 + -11 = 0 0 + 14k = -9 + -11 14k = -9 + -11 Combine like terms: -9 + -11 = -20 14k = -20 Divide each side by '14'. k = -1.428571429 Simplifying k = -1.428571429
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