4-4(b-3)=5(2b-3)

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Solution for 4-4(b-3)=5(2b-3) equation: 


Simplifying
4 + -4(b + -3) = 5(2b + -3)

Reorder the terms:
4 + -4(-3 + b) = 5(2b + -3)
4 + (-3 * -4 + b * -4) = 5(2b + -3)
4 + (12 + -4b) = 5(2b + -3)

Combine like terms: 4 + 12 = 16
16 + -4b = 5(2b + -3)

Reorder the terms:
16 + -4b = 5(-3 + 2b)
16 + -4b = (-3 * 5 + 2b * 5)
16 + -4b = (-15 + 10b)

Solving
16 + -4b = -15 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
16 + -4b + -10b = -15 + 10b + -10b

Combine like terms: -4b + -10b = -14b
16 + -14b = -15 + 10b + -10b

Combine like terms: 10b + -10b = 0
16 + -14b = -15 + 0
16 + -14b = -15

Add '-16' to each side of the equation.
16 + -16 + -14b = -15 + -16

Combine like terms: 16 + -16 = 0
0 + -14b = -15 + -16
-14b = -15 + -16

Combine like terms: -15 + -16 = -31
-14b = -31

Divide each side by '-14'.
b = 2.214285714

Simplifying
b = 2.214285714

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