5.2v+4.158=4.7(0.1+2.6v)-6.1v

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Solution for 5.2v+4.158=4.7(0.1+2.6v)-6.1v equation: 


Simplifying
5.2v + 4.158 = 4.7(0.1 + 2.6v) + -6.1v

Reorder the terms:
4.158 + 5.2v = 4.7(0.1 + 2.6v) + -6.1v
4.158 + 5.2v = (0.1 * 4.7 + 2.6v * 4.7) + -6.1v
4.158 + 5.2v = (0.47 + 12.22v) + -6.1v

Combine like terms: 12.22v + -6.1v = 6.12v
4.158 + 5.2v = 0.47 + 6.12v

Solving
4.158 + 5.2v = 0.47 + 6.12v

Solving for variable 'v'.

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

Add '-6.12v' to each side of the equation.
4.158 + 5.2v + -6.12v = 0.47 + 6.12v + -6.12v

Combine like terms: 5.2v + -6.12v = -0.92v
4.158 + -0.92v = 0.47 + 6.12v + -6.12v

Combine like terms: 6.12v + -6.12v = 0.00
4.158 + -0.92v = 0.47 + 0.00
4.158 + -0.92v = 0.47

Add '-4.158' to each side of the equation.
4.158 + -4.158 + -0.92v = 0.47 + -4.158

Combine like terms: 4.158 + -4.158 = 0.000
0.000 + -0.92v = 0.47 + -4.158
-0.92v = 0.47 + -4.158

Combine like terms: 0.47 + -4.158 = -3.688
-0.92v = -3.688

Divide each side by '-0.92'.
v = 4.008695652

Simplifying
v = 4.008695652

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