4(v+1)+5=6(6-1)+v

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Solution for 4(v+1)+5=6(6-1)+v equation:


Simplifying
4(v + 1) + 5 = 6(6 + -1) + v

Reorder the terms:
4(1 + v) + 5 = 6(6 + -1) + v
(1 * 4 + v * 4) + 5 = 6(6 + -1) + v
(4 + 4v) + 5 = 6(6 + -1) + v

Reorder the terms:
4 + 5 + 4v = 6(6 + -1) + v

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

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

Multiply 6 * 5
9 + 4v = 30 + v

Solving
9 + 4v = 30 + v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
9 + 4v + -1v = 30 + v + -1v

Combine like terms: 4v + -1v = 3v
9 + 3v = 30 + v + -1v

Combine like terms: v + -1v = 0
9 + 3v = 30 + 0
9 + 3v = 30

Add '-9' to each side of the equation.
9 + -9 + 3v = 30 + -9

Combine like terms: 9 + -9 = 0
0 + 3v = 30 + -9
3v = 30 + -9

Combine like terms: 30 + -9 = 21
3v = 21

Divide each side by '3'.
v = 7

Simplifying
v = 7

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