v+(v-22)+(v+21)=491

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Solution for v+(v-22)+(v+21)=491 equation: 


Simplifying
v + (v + -22) + (v + 21) = 491

Reorder the terms:
v + (-22 + v) + (v + 21) = 491

Remove parenthesis around (-22 + v)
v + -22 + v + (v + 21) = 491

Reorder the terms:
v + -22 + v + (21 + v) = 491

Remove parenthesis around (21 + v)
v + -22 + v + 21 + v = 491

Reorder the terms:
-22 + 21 + v + v + v = 491

Combine like terms: -22 + 21 = -1
-1 + v + v + v = 491

Combine like terms: v + v = 2v
-1 + 2v + v = 491

Combine like terms: 2v + v = 3v
-1 + 3v = 491

Solving
-1 + 3v = 491

Solving for variable 'v'.

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

Add '1' to each side of the equation.
-1 + 1 + 3v = 491 + 1

Combine like terms: -1 + 1 = 0
0 + 3v = 491 + 1
3v = 491 + 1

Combine like terms: 491 + 1 = 492
3v = 492

Divide each side by '3'.
v = 164

Simplifying
v = 164

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