0.2(v+0.6)=0.4(v-4.2)

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Solution for 0.2(v+0.6)=0.4(v-4.2) equation: 


Simplifying
0.2(v + 0.6) = 0.4(v + -4.2)

Reorder the terms:
0.2(0.6 + v) = 0.4(v + -4.2)
(0.6 * 0.2 + v * 0.2) = 0.4(v + -4.2)
(0.12 + 0.2v) = 0.4(v + -4.2)

Reorder the terms:
0.12 + 0.2v = 0.4(-4.2 + v)
0.12 + 0.2v = (-4.2 * 0.4 + v * 0.4)
0.12 + 0.2v = (-1.68 + 0.4v)

Solving
0.12 + 0.2v = -1.68 + 0.4v

Solving for variable 'v'.

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

Add '-0.4v' to each side of the equation.
0.12 + 0.2v + -0.4v = -1.68 + 0.4v + -0.4v

Combine like terms: 0.2v + -0.4v = -0.2v
0.12 + -0.2v = -1.68 + 0.4v + -0.4v

Combine like terms: 0.4v + -0.4v = 0.0
0.12 + -0.2v = -1.68 + 0.0
0.12 + -0.2v = -1.68

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.2v = -1.68 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.2v = -1.68 + -0.12
-0.2v = -1.68 + -0.12

Combine like terms: -1.68 + -0.12 = -1.8
-0.2v = -1.8

Divide each side by '-0.2'.
v = 9

Simplifying
v = 9

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