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Simplifying 4(8k + -6) = 17 + -9k Reorder the terms: 4(-6 + 8k) = 17 + -9k (-6 * 4 + 8k * 4) = 17 + -9k (-24 + 32k) = 17 + -9k Solving -24 + 32k = 17 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -24 + 32k + 9k = 17 + -9k + 9k Combine like terms: 32k + 9k = 41k -24 + 41k = 17 + -9k + 9k Combine like terms: -9k + 9k = 0 -24 + 41k = 17 + 0 -24 + 41k = 17 Add '24' to each side of the equation. -24 + 24 + 41k = 17 + 24 Combine like terms: -24 + 24 = 0 0 + 41k = 17 + 24 41k = 17 + 24 Combine like terms: 17 + 24 = 41 41k = 41 Divide each side by '41'. k = 1 Simplifying k = 1
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