-29.5+4b=-4.5(5b-7.5)

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Solution for -29.5+4b=-4.5(5b-7.5) equation: 


Simplifying
-29.5 + 4b = -4.5(5b + -7.5)

Reorder the terms:
-29.5 + 4b = -4.5(-7.5 + 5b)
-29.5 + 4b = (-7.5 * -4.5 + 5b * -4.5)
-29.5 + 4b = (33.75 + -22.5b)

Solving
-29.5 + 4b = 33.75 + -22.5b

Solving for variable 'b'.

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

Add '22.5b' to each side of the equation.
-29.5 + 4b + 22.5b = 33.75 + -22.5b + 22.5b

Combine like terms: 4b + 22.5b = 26.5b
-29.5 + 26.5b = 33.75 + -22.5b + 22.5b

Combine like terms: -22.5b + 22.5b = 0.0
-29.5 + 26.5b = 33.75 + 0.0
-29.5 + 26.5b = 33.75

Add '29.5' to each side of the equation.
-29.5 + 29.5 + 26.5b = 33.75 + 29.5

Combine like terms: -29.5 + 29.5 = 0.0
0.0 + 26.5b = 33.75 + 29.5
26.5b = 33.75 + 29.5

Combine like terms: 33.75 + 29.5 = 63.25
26.5b = 63.25

Divide each side by '26.5'.
b = 2.386792453

Simplifying
b = 2.386792453

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