10.79(4.4v-5.2)+3.1(-2.3v-5.9)=-3.9v-.2v

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Solution for 10.79(4.4v-5.2)+3.1(-2.3v-5.9)=-3.9v-.2v equation:


Simplifying
10.79(4.4v + -5.2) + 3.1(-2.3v + -5.9) = -3.9v + -0.2v

Reorder the terms:
10.79(-5.2 + 4.4v) + 3.1(-2.3v + -5.9) = -3.9v + -0.2v
(-5.2 * 10.79 + 4.4v * 10.79) + 3.1(-2.3v + -5.9) = -3.9v + -0.2v
(-56.108 + 47.476v) + 3.1(-2.3v + -5.9) = -3.9v + -0.2v

Reorder the terms:
-56.108 + 47.476v + 3.1(-5.9 + -2.3v) = -3.9v + -0.2v
-56.108 + 47.476v + (-5.9 * 3.1 + -2.3v * 3.1) = -3.9v + -0.2v
-56.108 + 47.476v + (-18.29 + -7.13v) = -3.9v + -0.2v

Reorder the terms:
-56.108 + -18.29 + 47.476v + -7.13v = -3.9v + -0.2v

Combine like terms: -56.108 + -18.29 = -74.398
-74.398 + 47.476v + -7.13v = -3.9v + -0.2v

Combine like terms: 47.476v + -7.13v = 40.346v
-74.398 + 40.346v = -3.9v + -0.2v

Combine like terms: -3.9v + -0.2v = -4.1v
-74.398 + 40.346v = -4.1v

Solving
-74.398 + 40.346v = -4.1v

Solving for variable 'v'.

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

Add '4.1v' to each side of the equation.
-74.398 + 40.346v + 4.1v = -4.1v + 4.1v

Combine like terms: 40.346v + 4.1v = 44.446v
-74.398 + 44.446v = -4.1v + 4.1v

Combine like terms: -4.1v + 4.1v = 0.0
-74.398 + 44.446v = 0.0

Add '74.398' to each side of the equation.
-74.398 + 74.398 + 44.446v = 0.0 + 74.398

Combine like terms: -74.398 + 74.398 = 0.000
0.000 + 44.446v = 0.0 + 74.398
44.446v = 0.0 + 74.398

Combine like terms: 0.0 + 74.398 = 74.398
44.446v = 74.398

Divide each side by '44.446'.
v = 1.673896414

Simplifying
v = 1.673896414

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