3v-4=8v+7

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Solution for 3v-4=8v+7 equation:


Simplifying
3v + -4 = 8v + 7

Reorder the terms:
-4 + 3v = 8v + 7

Reorder the terms:
-4 + 3v = 7 + 8v

Solving
-4 + 3v = 7 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-4 + 3v + -8v = 7 + 8v + -8v

Combine like terms: 3v + -8v = -5v
-4 + -5v = 7 + 8v + -8v

Combine like terms: 8v + -8v = 0
-4 + -5v = 7 + 0
-4 + -5v = 7

Add '4' to each side of the equation.
-4 + 4 + -5v = 7 + 4

Combine like terms: -4 + 4 = 0
0 + -5v = 7 + 4
-5v = 7 + 4

Combine like terms: 7 + 4 = 11
-5v = 11

Divide each side by '-5'.
v = -2.2

Simplifying
v = -2.2

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