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Simplifying -8.3(7.3k + -8.449) + 9.4 = -5.6(-3.06k + -4.8) Reorder the terms: -8.3(-8.449 + 7.3k) + 9.4 = -5.6(-3.06k + -4.8) (-8.449 * -8.3 + 7.3k * -8.3) + 9.4 = -5.6(-3.06k + -4.8) (70.1267 + -60.59k) + 9.4 = -5.6(-3.06k + -4.8) Reorder the terms: 70.1267 + 9.4 + -60.59k = -5.6(-3.06k + -4.8) Combine like terms: 70.1267 + 9.4 = 79.5267 79.5267 + -60.59k = -5.6(-3.06k + -4.8) Reorder the terms: 79.5267 + -60.59k = -5.6(-4.8 + -3.06k) 79.5267 + -60.59k = (-4.8 * -5.6 + -3.06k * -5.6) 79.5267 + -60.59k = (26.88 + 17.136k) Solving 79.5267 + -60.59k = 26.88 + 17.136k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17.136k' to each side of the equation. 79.5267 + -60.59k + -17.136k = 26.88 + 17.136k + -17.136k Combine like terms: -60.59k + -17.136k = -77.726k 79.5267 + -77.726k = 26.88 + 17.136k + -17.136k Combine like terms: 17.136k + -17.136k = 0.000 79.5267 + -77.726k = 26.88 + 0.000 79.5267 + -77.726k = 26.88 Add '-79.5267' to each side of the equation. 79.5267 + -79.5267 + -77.726k = 26.88 + -79.5267 Combine like terms: 79.5267 + -79.5267 = 0.0000 0.0000 + -77.726k = 26.88 + -79.5267 -77.726k = 26.88 + -79.5267 Combine like terms: 26.88 + -79.5267 = -52.6467 -77.726k = -52.6467 Divide each side by '-77.726'. k = 0.6773370558 Simplifying k = 0.6773370558
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