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Simplifying 3.2 + -4.3 = 12.6k + 14.5 Combine like terms: 3.2 + -4.3 = -1.1 -1.1 = 12.6k + 14.5 Reorder the terms: -1.1 = 14.5 + 12.6k Solving -1.1 = 14.5 + 12.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12.6k' to each side of the equation. -1.1 + -12.6k = 14.5 + 12.6k + -12.6k Combine like terms: 12.6k + -12.6k = 0.0 -1.1 + -12.6k = 14.5 + 0.0 -1.1 + -12.6k = 14.5 Add '1.1' to each side of the equation. -1.1 + 1.1 + -12.6k = 14.5 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -12.6k = 14.5 + 1.1 -12.6k = 14.5 + 1.1 Combine like terms: 14.5 + 1.1 = 15.6 -12.6k = 15.6 Divide each side by '-12.6'. k = -1.238095238 Simplifying k = -1.238095238
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