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Simplifying 0.2 + -10k + 65 = 2 + 10k Reorder the terms: 0.2 + 65 + -10k = 2 + 10k Combine like terms: 0.2 + 65 = 65.2 65.2 + -10k = 2 + 10k Solving 65.2 + -10k = 2 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 65.2 + -10k + -10k = 2 + 10k + -10k Combine like terms: -10k + -10k = -20k 65.2 + -20k = 2 + 10k + -10k Combine like terms: 10k + -10k = 0 65.2 + -20k = 2 + 0 65.2 + -20k = 2 Add '-65.2' to each side of the equation. 65.2 + -65.2 + -20k = 2 + -65.2 Combine like terms: 65.2 + -65.2 = 0.0 0.0 + -20k = 2 + -65.2 -20k = 2 + -65.2 Combine like terms: 2 + -65.2 = -63.2 -20k = -63.2 Divide each side by '-20'. k = 3.16 Simplifying k = 3.16
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