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Simplifying k + 22 = 9k + -90 Reorder the terms: 22 + k = 9k + -90 Reorder the terms: 22 + k = -90 + 9k Solving 22 + k = -90 + 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. 22 + k + -9k = -90 + 9k + -9k Combine like terms: k + -9k = -8k 22 + -8k = -90 + 9k + -9k Combine like terms: 9k + -9k = 0 22 + -8k = -90 + 0 22 + -8k = -90 Add '-22' to each side of the equation. 22 + -22 + -8k = -90 + -22 Combine like terms: 22 + -22 = 0 0 + -8k = -90 + -22 -8k = -90 + -22 Combine like terms: -90 + -22 = -112 -8k = -112 Divide each side by '-8'. k = 14 Simplifying k = 14
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