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Simplifying 9k + 45 = 21k + -87 Reorder the terms: 45 + 9k = 21k + -87 Reorder the terms: 45 + 9k = -87 + 21k Solving 45 + 9k = -87 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 45 + 9k + -21k = -87 + 21k + -21k Combine like terms: 9k + -21k = -12k 45 + -12k = -87 + 21k + -21k Combine like terms: 21k + -21k = 0 45 + -12k = -87 + 0 45 + -12k = -87 Add '-45' to each side of the equation. 45 + -45 + -12k = -87 + -45 Combine like terms: 45 + -45 = 0 0 + -12k = -87 + -45 -12k = -87 + -45 Combine like terms: -87 + -45 = -132 -12k = -132 Divide each side by '-12'. k = 11 Simplifying k = 11
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