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Simplifying -9(8k + -6) = 21 + -5k Reorder the terms: -9(-6 + 8k) = 21 + -5k (-6 * -9 + 8k * -9) = 21 + -5k (54 + -72k) = 21 + -5k Solving 54 + -72k = 21 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 54 + -72k + 5k = 21 + -5k + 5k Combine like terms: -72k + 5k = -67k 54 + -67k = 21 + -5k + 5k Combine like terms: -5k + 5k = 0 54 + -67k = 21 + 0 54 + -67k = 21 Add '-54' to each side of the equation. 54 + -54 + -67k = 21 + -54 Combine like terms: 54 + -54 = 0 0 + -67k = 21 + -54 -67k = 21 + -54 Combine like terms: 21 + -54 = -33 -67k = -33 Divide each side by '-67'. k = 0.4925373134 Simplifying k = 0.4925373134
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