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Simplifying 3.5k + 5 = 9.25k + 13 Reorder the terms: 5 + 3.5k = 9.25k + 13 Reorder the terms: 5 + 3.5k = 13 + 9.25k Solving 5 + 3.5k = 13 + 9.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.25k' to each side of the equation. 5 + 3.5k + -9.25k = 13 + 9.25k + -9.25k Combine like terms: 3.5k + -9.25k = -5.75k 5 + -5.75k = 13 + 9.25k + -9.25k Combine like terms: 9.25k + -9.25k = 0.00 5 + -5.75k = 13 + 0.00 5 + -5.75k = 13 Add '-5' to each side of the equation. 5 + -5 + -5.75k = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -5.75k = 13 + -5 -5.75k = 13 + -5 Combine like terms: 13 + -5 = 8 -5.75k = 8 Divide each side by '-5.75'. k = -1.391304348 Simplifying k = -1.391304348
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