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Simplifying 1 + -2.6k = 10.45 + -1.1k Solving 1 + -2.6k = 10.45 + -1.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.1k' to each side of the equation. 1 + -2.6k + 1.1k = 10.45 + -1.1k + 1.1k Combine like terms: -2.6k + 1.1k = -1.5k 1 + -1.5k = 10.45 + -1.1k + 1.1k Combine like terms: -1.1k + 1.1k = 0.0 1 + -1.5k = 10.45 + 0.0 1 + -1.5k = 10.45 Add '-1' to each side of the equation. 1 + -1 + -1.5k = 10.45 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5k = 10.45 + -1 -1.5k = 10.45 + -1 Combine like terms: 10.45 + -1 = 9.45 -1.5k = 9.45 Divide each side by '-1.5'. k = -6.3 Simplifying k = -6.3
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