7(v-4)=3(3+v)-1

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Solution for 7(v-4)=3(3+v)-1 equation: 


Simplifying
7(v + -4) = 3(3 + v) + -1

Reorder the terms:
7(-4 + v) = 3(3 + v) + -1
(-4 * 7 + v * 7) = 3(3 + v) + -1
(-28 + 7v) = 3(3 + v) + -1
-28 + 7v = (3 * 3 + v * 3) + -1
-28 + 7v = (9 + 3v) + -1

Reorder the terms:
-28 + 7v = 9 + -1 + 3v

Combine like terms: 9 + -1 = 8
-28 + 7v = 8 + 3v

Solving
-28 + 7v = 8 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-28 + 7v + -3v = 8 + 3v + -3v

Combine like terms: 7v + -3v = 4v
-28 + 4v = 8 + 3v + -3v

Combine like terms: 3v + -3v = 0
-28 + 4v = 8 + 0
-28 + 4v = 8

Add '28' to each side of the equation.
-28 + 28 + 4v = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 4v = 8 + 28
4v = 8 + 28

Combine like terms: 8 + 28 = 36
4v = 36

Divide each side by '4'.
v = 9

Simplifying
v = 9

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