-8.3(7.3k-8.449)+9.4=-5.6(-3.06k-4.8)

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Solution for -8.3(7.3k-8.449)+9.4=-5.6(-3.06k-4.8) equation: 


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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