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Simplifying k + 20 = 9k + -5 Reorder the terms: 20 + k = 9k + -5 Reorder the terms: 20 + k = -5 + 9k Solving 20 + k = -5 + 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. 20 + k + -9k = -5 + 9k + -9k Combine like terms: k + -9k = -8k 20 + -8k = -5 + 9k + -9k Combine like terms: 9k + -9k = 0 20 + -8k = -5 + 0 20 + -8k = -5 Add '-20' to each side of the equation. 20 + -20 + -8k = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -8k = -5 + -20 -8k = -5 + -20 Combine like terms: -5 + -20 = -25 -8k = -25 Divide each side by '-8'. k = 3.125 Simplifying k = 3.125
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