0.6(v-3)=0.3(v+6)

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Solution for 0.6(v-3)=0.3(v+6) equation: 


Simplifying
0.6(v + -3) = 0.3(v + 6)

Reorder the terms:
0.6(-3 + v) = 0.3(v + 6)
(-3 * 0.6 + v * 0.6) = 0.3(v + 6)
(-1.8 + 0.6v) = 0.3(v + 6)

Reorder the terms:
-1.8 + 0.6v = 0.3(6 + v)
-1.8 + 0.6v = (6 * 0.3 + v * 0.3)
-1.8 + 0.6v = (1.8 + 0.3v)

Solving
-1.8 + 0.6v = 1.8 + 0.3v

Solving for variable 'v'.

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

Add '-0.3v' to each side of the equation.
-1.8 + 0.6v + -0.3v = 1.8 + 0.3v + -0.3v

Combine like terms: 0.6v + -0.3v = 0.3v
-1.8 + 0.3v = 1.8 + 0.3v + -0.3v

Combine like terms: 0.3v + -0.3v = 0.0
-1.8 + 0.3v = 1.8 + 0.0
-1.8 + 0.3v = 1.8

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.3v = 1.8 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.3v = 1.8 + 1.8
0.3v = 1.8 + 1.8

Combine like terms: 1.8 + 1.8 = 3.6
0.3v = 3.6

Divide each side by '0.3'.
v = 12

Simplifying
v = 12

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