7v-21=-5(v+9)

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Solution for 7v-21=-5(v+9) equation:


Simplifying
7v + -21 = -5(v + 9)

Reorder the terms:
-21 + 7v = -5(v + 9)

Reorder the terms:
-21 + 7v = -5(9 + v)
-21 + 7v = (9 * -5 + v * -5)
-21 + 7v = (-45 + -5v)

Solving
-21 + 7v = -45 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
-21 + 7v + 5v = -45 + -5v + 5v

Combine like terms: 7v + 5v = 12v
-21 + 12v = -45 + -5v + 5v

Combine like terms: -5v + 5v = 0
-21 + 12v = -45 + 0
-21 + 12v = -45

Add '21' to each side of the equation.
-21 + 21 + 12v = -45 + 21

Combine like terms: -21 + 21 = 0
0 + 12v = -45 + 21
12v = -45 + 21

Combine like terms: -45 + 21 = -24
12v = -24

Divide each side by '12'.
v = -2

Simplifying
v = -2

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