.33(b+8)=.25b+8

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Solution for .33(b+8)=.25b+8 equation:


Simplifying
0.33(b + 8) = 0.25b + 8

Reorder the terms:
0.33(8 + b) = 0.25b + 8
(8 * 0.33 + b * 0.33) = 0.25b + 8
(2.64 + 0.33b) = 0.25b + 8

Reorder the terms:
2.64 + 0.33b = 8 + 0.25b

Solving
2.64 + 0.33b = 8 + 0.25b

Solving for variable 'b'.

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

Add '-0.25b' to each side of the equation.
2.64 + 0.33b + -0.25b = 8 + 0.25b + -0.25b

Combine like terms: 0.33b + -0.25b = 0.08b
2.64 + 0.08b = 8 + 0.25b + -0.25b

Combine like terms: 0.25b + -0.25b = 0.00
2.64 + 0.08b = 8 + 0.00
2.64 + 0.08b = 8

Add '-2.64' to each side of the equation.
2.64 + -2.64 + 0.08b = 8 + -2.64

Combine like terms: 2.64 + -2.64 = 0.00
0.00 + 0.08b = 8 + -2.64
0.08b = 8 + -2.64

Combine like terms: 8 + -2.64 = 5.36
0.08b = 5.36

Divide each side by '0.08'.
b = 67

Simplifying
b = 67

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