3v-4=7v+8

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


Simplifying
3v + -4 = 7v + 8

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

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

Solving
-4 + 3v = 8 + 7v

Solving for variable 'v'.

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

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

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

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

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

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

Combine like terms: 8 + 4 = 12
-4v = 12

Divide each side by '-4'.
v = -3

Simplifying
v = -3

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