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Simplifying -7.71 + 3.1k = 3.5k + -4.62 Reorder the terms: -7.71 + 3.1k = -4.62 + 3.5k Solving -7.71 + 3.1k = -4.62 + 3.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.5k' to each side of the equation. -7.71 + 3.1k + -3.5k = -4.62 + 3.5k + -3.5k Combine like terms: 3.1k + -3.5k = -0.4k -7.71 + -0.4k = -4.62 + 3.5k + -3.5k Combine like terms: 3.5k + -3.5k = 0.0 -7.71 + -0.4k = -4.62 + 0.0 -7.71 + -0.4k = -4.62 Add '7.71' to each side of the equation. -7.71 + 7.71 + -0.4k = -4.62 + 7.71 Combine like terms: -7.71 + 7.71 = 0.00 0.00 + -0.4k = -4.62 + 7.71 -0.4k = -4.62 + 7.71 Combine like terms: -4.62 + 7.71 = 3.09 -0.4k = 3.09 Divide each side by '-0.4'. k = -7.725 Simplifying k = -7.725
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