5.4(3k-12)+3.3(2k+6)=-136

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Solution for 5.4(3k-12)+3.3(2k+6)=-136 equation: 


Simplifying
5.4(3k + -12) + 3.3(2k + 6) = -136

Reorder the terms:
5.4(-12 + 3k) + 3.3(2k + 6) = -136
(-12 * 5.4 + 3k * 5.4) + 3.3(2k + 6) = -136
(-64.8 + 16.2k) + 3.3(2k + 6) = -136

Reorder the terms:
-64.8 + 16.2k + 3.3(6 + 2k) = -136
-64.8 + 16.2k + (6 * 3.3 + 2k * 3.3) = -136
-64.8 + 16.2k + (19.8 + 6.6k) = -136

Reorder the terms:
-64.8 + 19.8 + 16.2k + 6.6k = -136

Combine like terms: -64.8 + 19.8 = -45
-45 + 16.2k + 6.6k = -136

Combine like terms: 16.2k + 6.6k = 22.8k
-45 + 22.8k = -136

Solving
-45 + 22.8k = -136

Solving for variable 'k'.

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

Add '45' to each side of the equation.
-45 + 45 + 22.8k = -136 + 45

Combine like terms: -45 + 45 = 0
0 + 22.8k = -136 + 45
22.8k = -136 + 45

Combine like terms: -136 + 45 = -91
22.8k = -91

Divide each side by '22.8'.
k = -3.99122807

Simplifying
k = -3.99122807

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