2.3(v-3)=1.3(v+6)

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Solution for 2.3(v-3)=1.3(v+6) equation: 


Simplifying
2.3(v + -3) = 1.3(v + 6)

Reorder the terms:
2.3(-3 + v) = 1.3(v + 6)
(-3 * 2.3 + v * 2.3) = 1.3(v + 6)
(-6.9 + 2.3v) = 1.3(v + 6)

Reorder the terms:
-6.9 + 2.3v = 1.3(6 + v)
-6.9 + 2.3v = (6 * 1.3 + v * 1.3)
-6.9 + 2.3v = (7.8 + 1.3v)

Solving
-6.9 + 2.3v = 7.8 + 1.3v

Solving for variable 'v'.

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

Add '-1.3v' to each side of the equation.
-6.9 + 2.3v + -1.3v = 7.8 + 1.3v + -1.3v

Combine like terms: 2.3v + -1.3v = 1v
-6.9 + 1v = 7.8 + 1.3v + -1.3v

Combine like terms: 1.3v + -1.3v = 0.0
-6.9 + 1v = 7.8 + 0.0
-6.9 + 1v = 7.8

Add '6.9' to each side of the equation.
-6.9 + 6.9 + 1v = 7.8 + 6.9

Combine like terms: -6.9 + 6.9 = 0.0
0.0 + 1v = 7.8 + 6.9
1v = 7.8 + 6.9

Combine like terms: 7.8 + 6.9 = 14.7
1v = 14.7

Divide each side by '1'.
v = 14.7

Simplifying
v = 14.7

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