0.10(0.5)+0.35v=0.15(v+0.5)

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Solution for 0.10(0.5)+0.35v=0.15(v+0.5) equation: 


Simplifying
0.10(0.5) + 0.35v = 0.15(v + 0.5)

Multiply 0.10 * 0.5
0.05 + 0.35v = 0.15(v + 0.5)

Reorder the terms:
0.05 + 0.35v = 0.15(0.5 + v)
0.05 + 0.35v = (0.5 * 0.15 + v * 0.15)
0.05 + 0.35v = (0.075 + 0.15v)

Solving
0.05 + 0.35v = 0.075 + 0.15v

Solving for variable 'v'.

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

Add '-0.15v' to each side of the equation.
0.05 + 0.35v + -0.15v = 0.075 + 0.15v + -0.15v

Combine like terms: 0.35v + -0.15v = 0.2v
0.05 + 0.2v = 0.075 + 0.15v + -0.15v

Combine like terms: 0.15v + -0.15v = 0.00
0.05 + 0.2v = 0.075 + 0.00
0.05 + 0.2v = 0.075

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.2v = 0.075 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.2v = 0.075 + -0.05
0.2v = 0.075 + -0.05

Combine like terms: 0.075 + -0.05 = 0.025
0.2v = 0.025

Divide each side by '0.2'.
v = 0.125

Simplifying
v = 0.125

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