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Simplifying 2.6k + 9.1 = 4k + -3.5 Reorder the terms: 9.1 + 2.6k = 4k + -3.5 Reorder the terms: 9.1 + 2.6k = -3.5 + 4k Solving 9.1 + 2.6k = -3.5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 9.1 + 2.6k + -4k = -3.5 + 4k + -4k Combine like terms: 2.6k + -4k = -1.4k 9.1 + -1.4k = -3.5 + 4k + -4k Combine like terms: 4k + -4k = 0 9.1 + -1.4k = -3.5 + 0 9.1 + -1.4k = -3.5 Add '-9.1' to each side of the equation. 9.1 + -9.1 + -1.4k = -3.5 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + -1.4k = -3.5 + -9.1 -1.4k = -3.5 + -9.1 Combine like terms: -3.5 + -9.1 = -12.6 -1.4k = -12.6 Divide each side by '-1.4'. k = 9 Simplifying k = 9
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