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Simplifying -7.78 + 1.6k = 3.1k + 13.37 Reorder the terms: -7.78 + 1.6k = 13.37 + 3.1k Solving -7.78 + 1.6k = 13.37 + 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. -7.78 + 1.6k + -3.1k = 13.37 + 3.1k + -3.1k Combine like terms: 1.6k + -3.1k = -1.5k -7.78 + -1.5k = 13.37 + 3.1k + -3.1k Combine like terms: 3.1k + -3.1k = 0.0 -7.78 + -1.5k = 13.37 + 0.0 -7.78 + -1.5k = 13.37 Add '7.78' to each side of the equation. -7.78 + 7.78 + -1.5k = 13.37 + 7.78 Combine like terms: -7.78 + 7.78 = 0.00 0.00 + -1.5k = 13.37 + 7.78 -1.5k = 13.37 + 7.78 Combine like terms: 13.37 + 7.78 = 21.15 -1.5k = 21.15 Divide each side by '-1.5'. k = -14.1 Simplifying k = -14.1
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