4v+9=5v-6

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Solution for 4v+9=5v-6 equation:


Simplifying
4v + 9 = 5v + -6

Reorder the terms:
9 + 4v = 5v + -6

Reorder the terms:
9 + 4v = -6 + 5v

Solving
9 + 4v = -6 + 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.
9 + 4v + -5v = -6 + 5v + -5v

Combine like terms: 4v + -5v = -1v
9 + -1v = -6 + 5v + -5v

Combine like terms: 5v + -5v = 0
9 + -1v = -6 + 0
9 + -1v = -6

Add '-9' to each side of the equation.
9 + -9 + -1v = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -1v = -6 + -9
-1v = -6 + -9

Combine like terms: -6 + -9 = -15
-1v = -15

Divide each side by '-1'.
v = 15

Simplifying
v = 15

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