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Simplifying -8k + 91 = 9k + 40 Reorder the terms: 91 + -8k = 9k + 40 Reorder the terms: 91 + -8k = 40 + 9k Solving 91 + -8k = 40 + 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. 91 + -8k + -9k = 40 + 9k + -9k Combine like terms: -8k + -9k = -17k 91 + -17k = 40 + 9k + -9k Combine like terms: 9k + -9k = 0 91 + -17k = 40 + 0 91 + -17k = 40 Add '-91' to each side of the equation. 91 + -91 + -17k = 40 + -91 Combine like terms: 91 + -91 = 0 0 + -17k = 40 + -91 -17k = 40 + -91 Combine like terms: 40 + -91 = -51 -17k = -51 Divide each side by '-17'. k = 3 Simplifying k = 3
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