-4(2b-9)=3(-24b+108)

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Solution for -4(2b-9)=3(-24b+108) equation: 


Simplifying
-4(2b + -9) = 3(-24b + 108)

Reorder the terms:
-4(-9 + 2b) = 3(-24b + 108)
(-9 * -4 + 2b * -4) = 3(-24b + 108)
(36 + -8b) = 3(-24b + 108)

Reorder the terms:
36 + -8b = 3(108 + -24b)
36 + -8b = (108 * 3 + -24b * 3)
36 + -8b = (324 + -72b)

Solving
36 + -8b = 324 + -72b

Solving for variable 'b'.

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

Add '72b' to each side of the equation.
36 + -8b + 72b = 324 + -72b + 72b

Combine like terms: -8b + 72b = 64b
36 + 64b = 324 + -72b + 72b

Combine like terms: -72b + 72b = 0
36 + 64b = 324 + 0
36 + 64b = 324

Add '-36' to each side of the equation.
36 + -36 + 64b = 324 + -36

Combine like terms: 36 + -36 = 0
0 + 64b = 324 + -36
64b = 324 + -36

Combine like terms: 324 + -36 = 288
64b = 288

Divide each side by '64'.
b = 4.5

Simplifying
b = 4.5

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