2v+7(4v+3)=21-4v

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Solution for 2v+7(4v+3)=21-4v equation:


Simplifying
2v + 7(4v + 3) = 21 + -4v

Reorder the terms:
2v + 7(3 + 4v) = 21 + -4v
2v + (3 * 7 + 4v * 7) = 21 + -4v
2v + (21 + 28v) = 21 + -4v

Reorder the terms:
21 + 2v + 28v = 21 + -4v

Combine like terms: 2v + 28v = 30v
21 + 30v = 21 + -4v

Add '-21' to each side of the equation.
21 + -21 + 30v = 21 + -21 + -4v

Combine like terms: 21 + -21 = 0
0 + 30v = 21 + -21 + -4v
30v = 21 + -21 + -4v

Combine like terms: 21 + -21 = 0
30v = 0 + -4v
30v = -4v

Solving
30v = -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
30v + 4v = -4v + 4v

Combine like terms: 30v + 4v = 34v
34v = -4v + 4v

Combine like terms: -4v + 4v = 0
34v = 0

Divide each side by '34'.
v = 0

Simplifying
v = 0

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