5v-11=3(v-7)

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Solution for 5v-11=3(v-7) equation:


Simplifying
5v + -11 = 3(v + -7)

Reorder the terms:
-11 + 5v = 3(v + -7)

Reorder the terms:
-11 + 5v = 3(-7 + v)
-11 + 5v = (-7 * 3 + v * 3)
-11 + 5v = (-21 + 3v)

Solving
-11 + 5v = -21 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-11 + 5v + -3v = -21 + 3v + -3v

Combine like terms: 5v + -3v = 2v
-11 + 2v = -21 + 3v + -3v

Combine like terms: 3v + -3v = 0
-11 + 2v = -21 + 0
-11 + 2v = -21

Add '11' to each side of the equation.
-11 + 11 + 2v = -21 + 11

Combine like terms: -11 + 11 = 0
0 + 2v = -21 + 11
2v = -21 + 11

Combine like terms: -21 + 11 = -10
2v = -10

Divide each side by '2'.
v = -5

Simplifying
v = -5

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