2v-1=7(v-3)

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Solution for 2v-1=7(v-3) equation:


Simplifying
2v + -1 = 7(v + -3)

Reorder the terms:
-1 + 2v = 7(v + -3)

Reorder the terms:
-1 + 2v = 7(-3 + v)
-1 + 2v = (-3 * 7 + v * 7)
-1 + 2v = (-21 + 7v)

Solving
-1 + 2v = -21 + 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.
-1 + 2v + -7v = -21 + 7v + -7v

Combine like terms: 2v + -7v = -5v
-1 + -5v = -21 + 7v + -7v

Combine like terms: 7v + -7v = 0
-1 + -5v = -21 + 0
-1 + -5v = -21

Add '1' to each side of the equation.
-1 + 1 + -5v = -21 + 1

Combine like terms: -1 + 1 = 0
0 + -5v = -21 + 1
-5v = -21 + 1

Combine like terms: -21 + 1 = -20
-5v = -20

Divide each side by '-5'.
v = 4

Simplifying
v = 4

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