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Simplifying 2.1k + -4 = 3.1k + 4 Reorder the terms: -4 + 2.1k = 3.1k + 4 Reorder the terms: -4 + 2.1k = 4 + 3.1k Solving -4 + 2.1k = 4 + 3.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.1k' to each side of the equation. -4 + 2.1k + -3.1k = 4 + 3.1k + -3.1k Combine like terms: 2.1k + -3.1k = -1k -4 + -1k = 4 + 3.1k + -3.1k Combine like terms: 3.1k + -3.1k = 0.0 -4 + -1k = 4 + 0.0 -4 + -1k = 4 Add '4' to each side of the equation. -4 + 4 + -1k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = 4 + 4 -1k = 4 + 4 Combine like terms: 4 + 4 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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