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Simplifying 3.2k + -43 = 12.6k + 14.5 Reorder the terms: -43 + 3.2k = 12.6k + 14.5 Reorder the terms: -43 + 3.2k = 14.5 + 12.6k Solving -43 + 3.2k = 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. -43 + 3.2k + -12.6k = 14.5 + 12.6k + -12.6k Combine like terms: 3.2k + -12.6k = -9.4k -43 + -9.4k = 14.5 + 12.6k + -12.6k Combine like terms: 12.6k + -12.6k = 0.0 -43 + -9.4k = 14.5 + 0.0 -43 + -9.4k = 14.5 Add '43' to each side of the equation. -43 + 43 + -9.4k = 14.5 + 43 Combine like terms: -43 + 43 = 0 0 + -9.4k = 14.5 + 43 -9.4k = 14.5 + 43 Combine like terms: 14.5 + 43 = 57.5 -9.4k = 57.5 Divide each side by '-9.4'. k = -6.117021277 Simplifying k = -6.117021277
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