4v+9=2v-1

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Solution for 4v+9=2v-1 equation:


Simplifying
4v + 9 = 2v + -1

Reorder the terms:
9 + 4v = 2v + -1

Reorder the terms:
9 + 4v = -1 + 2v

Solving
9 + 4v = -1 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
9 + 4v + -2v = -1 + 2v + -2v

Combine like terms: 4v + -2v = 2v
9 + 2v = -1 + 2v + -2v

Combine like terms: 2v + -2v = 0
9 + 2v = -1 + 0
9 + 2v = -1

Add '-9' to each side of the equation.
9 + -9 + 2v = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 2v = -1 + -9
2v = -1 + -9

Combine like terms: -1 + -9 = -10
2v = -10

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

Simplifying
v = -5

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