2.25b+(40-.15b)=310-(250-.15b)

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Solution for 2.25b+(40-.15b)=310-(250-.15b) equation:


Simplifying
2.25b + (40 + -0.15b) = 310 + -1(250 + -0.15b)

Remove parenthesis around (40 + -0.15b)
2.25b + 40 + -0.15b = 310 + -1(250 + -0.15b)

Reorder the terms:
40 + 2.25b + -0.15b = 310 + -1(250 + -0.15b)

Combine like terms: 2.25b + -0.15b = 2.1b
40 + 2.1b = 310 + -1(250 + -0.15b)
40 + 2.1b = 310 + (250 * -1 + -0.15b * -1)
40 + 2.1b = 310 + (-250 + 0.15b)

Combine like terms: 310 + -250 = 60
40 + 2.1b = 60 + 0.15b

Solving
40 + 2.1b = 60 + 0.15b

Solving for variable 'b'.

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

Add '-0.15b' to each side of the equation.
40 + 2.1b + -0.15b = 60 + 0.15b + -0.15b

Combine like terms: 2.1b + -0.15b = 1.95b
40 + 1.95b = 60 + 0.15b + -0.15b

Combine like terms: 0.15b + -0.15b = 0.00
40 + 1.95b = 60 + 0.00
40 + 1.95b = 60

Add '-40' to each side of the equation.
40 + -40 + 1.95b = 60 + -40

Combine like terms: 40 + -40 = 0
0 + 1.95b = 60 + -40
1.95b = 60 + -40

Combine like terms: 60 + -40 = 20
1.95b = 20

Divide each side by '1.95'.
b = 10.25641026

Simplifying
b = 10.25641026

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