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Simplifying 5.9 + -2k = 2.1 + 6k Solving 5.9 + -2k = 2.1 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 5.9 + -2k + -6k = 2.1 + 6k + -6k Combine like terms: -2k + -6k = -8k 5.9 + -8k = 2.1 + 6k + -6k Combine like terms: 6k + -6k = 0 5.9 + -8k = 2.1 + 0 5.9 + -8k = 2.1 Add '-5.9' to each side of the equation. 5.9 + -5.9 + -8k = 2.1 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + -8k = 2.1 + -5.9 -8k = 2.1 + -5.9 Combine like terms: 2.1 + -5.9 = -3.8 -8k = -3.8 Divide each side by '-8'. k = 0.475 Simplifying k = 0.475
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