5.4(3k-12)+3.2(2k+b)=-136

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Solution for 5.4(3k-12)+3.2(2k+b)=-136 equation: 


Simplifying
5.4(3k + -12) + 3.2(2k + b) = -136

Reorder the terms:
5.4(-12 + 3k) + 3.2(2k + b) = -136
(-12 * 5.4 + 3k * 5.4) + 3.2(2k + b) = -136
(-64.8 + 16.2k) + 3.2(2k + b) = -136

Reorder the terms:
-64.8 + 16.2k + 3.2(b + 2k) = -136
-64.8 + 16.2k + (b * 3.2 + 2k * 3.2) = -136
-64.8 + 16.2k + (3.2b + 6.4k) = -136

Reorder the terms:
-64.8 + 3.2b + 16.2k + 6.4k = -136

Combine like terms: 16.2k + 6.4k = 22.6k
-64.8 + 3.2b + 22.6k = -136

Solving
-64.8 + 3.2b + 22.6k = -136

Solving for variable 'b'.

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

Add '64.8' to each side of the equation.
-64.8 + 3.2b + 64.8 + 22.6k = -136 + 64.8

Reorder the terms:
-64.8 + 64.8 + 3.2b + 22.6k = -136 + 64.8

Combine like terms: -64.8 + 64.8 = 0.0
0.0 + 3.2b + 22.6k = -136 + 64.8
3.2b + 22.6k = -136 + 64.8

Combine like terms: -136 + 64.8 = -71.2
3.2b + 22.6k = -71.2

Add '-22.6k' to each side of the equation.
3.2b + 22.6k + -22.6k = -71.2 + -22.6k

Combine like terms: 22.6k + -22.6k = 0.0
3.2b + 0.0 = -71.2 + -22.6k
3.2b = -71.2 + -22.6k

Divide each side by '3.2'.
b = -22.25 + -7.0625k

Simplifying
b = -22.25 + -7.0625k

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