5.4(3k-12)+3.2(2k+6)=-126

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Solution for 5.4(3k-12)+3.2(2k+6)=-126 equation: 


Simplifying
5.4(3k + -12) + 3.2(2k + 6) = -126

Reorder the terms:
5.4(-12 + 3k) + 3.2(2k + 6) = -126
(-12 * 5.4 + 3k * 5.4) + 3.2(2k + 6) = -126
(-64.8 + 16.2k) + 3.2(2k + 6) = -126

Reorder the terms:
-64.8 + 16.2k + 3.2(6 + 2k) = -126
-64.8 + 16.2k + (6 * 3.2 + 2k * 3.2) = -126
-64.8 + 16.2k + (19.2 + 6.4k) = -126

Reorder the terms:
-64.8 + 19.2 + 16.2k + 6.4k = -126

Combine like terms: -64.8 + 19.2 = -45.6
-45.6 + 16.2k + 6.4k = -126

Combine like terms: 16.2k + 6.4k = 22.6k
-45.6 + 22.6k = -126

Solving
-45.6 + 22.6k = -126

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '45.6' to each side of the equation.
-45.6 + 45.6 + 22.6k = -126 + 45.6

Combine like terms: -45.6 + 45.6 = 0.0
0.0 + 22.6k = -126 + 45.6
22.6k = -126 + 45.6

Combine like terms: -126 + 45.6 = -80.4
22.6k = -80.4

Divide each side by '22.6'.
k = -3.557522124

Simplifying
k = -3.557522124

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