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Simplifying 19.25 + -14.4k = -19.86 + -18.8k + -16.77 Reorder the terms: 19.25 + -14.4k = -19.86 + -16.77 + -18.8k Combine like terms: -19.86 + -16.77 = -36.63 19.25 + -14.4k = -36.63 + -18.8k Solving 19.25 + -14.4k = -36.63 + -18.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18.8k' to each side of the equation. 19.25 + -14.4k + 18.8k = -36.63 + -18.8k + 18.8k Combine like terms: -14.4k + 18.8k = 4.4k 19.25 + 4.4k = -36.63 + -18.8k + 18.8k Combine like terms: -18.8k + 18.8k = 0.0 19.25 + 4.4k = -36.63 + 0.0 19.25 + 4.4k = -36.63 Add '-19.25' to each side of the equation. 19.25 + -19.25 + 4.4k = -36.63 + -19.25 Combine like terms: 19.25 + -19.25 = 0.00 0.00 + 4.4k = -36.63 + -19.25 4.4k = -36.63 + -19.25 Combine like terms: -36.63 + -19.25 = -55.88 4.4k = -55.88 Divide each side by '4.4'. k = -12.7 Simplifying k = -12.7
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