(45+v)0.68=(45-v)0.82

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Solution for (45+v)0.68=(45-v)0.82 equation:


Simplifying
(45 + v) * 0.68 = (45 + -1v) * 0.82

Reorder the terms for easier multiplication:
0.68(45 + v) = (45 + -1v) * 0.82
(45 * 0.68 + v * 0.68) = (45 + -1v) * 0.82
(30.6 + 0.68v) = (45 + -1v) * 0.82

Reorder the terms for easier multiplication:
30.6 + 0.68v = 0.82(45 + -1v)
30.6 + 0.68v = (45 * 0.82 + -1v * 0.82)
30.6 + 0.68v = (36.9 + -0.82v)

Solving
30.6 + 0.68v = 36.9 + -0.82v

Solving for variable 'v'.

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

Add '0.82v' to each side of the equation.
30.6 + 0.68v + 0.82v = 36.9 + -0.82v + 0.82v

Combine like terms: 0.68v + 0.82v = 1.5v
30.6 + 1.5v = 36.9 + -0.82v + 0.82v

Combine like terms: -0.82v + 0.82v = 0.00
30.6 + 1.5v = 36.9 + 0.00
30.6 + 1.5v = 36.9

Add '-30.6' to each side of the equation.
30.6 + -30.6 + 1.5v = 36.9 + -30.6

Combine like terms: 30.6 + -30.6 = 0.0
0.0 + 1.5v = 36.9 + -30.6
1.5v = 36.9 + -30.6

Combine like terms: 36.9 + -30.6 = 6.3
1.5v = 6.3

Divide each side by '1.5'.
v = 4.2

Simplifying
v = 4.2

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