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Simplifying 114 + 0.2k = 90 + 0.32k Solving 114 + 0.2k = 90 + 0.32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.32k' to each side of the equation. 114 + 0.2k + -0.32k = 90 + 0.32k + -0.32k Combine like terms: 0.2k + -0.32k = -0.12k 114 + -0.12k = 90 + 0.32k + -0.32k Combine like terms: 0.32k + -0.32k = 0.00 114 + -0.12k = 90 + 0.00 114 + -0.12k = 90 Add '-114' to each side of the equation. 114 + -114 + -0.12k = 90 + -114 Combine like terms: 114 + -114 = 0 0 + -0.12k = 90 + -114 -0.12k = 90 + -114 Combine like terms: 90 + -114 = -24 -0.12k = -24 Divide each side by '-0.12'. k = 200 Simplifying k = 200
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