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Simplifying 3k + -9k + -8k + 6 = -64 Reorder the terms: 6 + 3k + -9k + -8k = -64 Combine like terms: 3k + -9k = -6k 6 + -6k + -8k = -64 Combine like terms: -6k + -8k = -14k 6 + -14k = -64 Solving 6 + -14k = -64 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -14k = -64 + -6 Combine like terms: 6 + -6 = 0 0 + -14k = -64 + -6 -14k = -64 + -6 Combine like terms: -64 + -6 = -70 -14k = -70 Divide each side by '-14'. k = 5 Simplifying k = 5
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