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

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


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

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

Combine like terms: 7 + 4 = 11
11 + -1v = 3(3v + -3)

Reorder the terms:
11 + -1v = 3(-3 + 3v)
11 + -1v = (-3 * 3 + 3v * 3)
11 + -1v = (-9 + 9v)

Solving
11 + -1v = -9 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
11 + -1v + -9v = -9 + 9v + -9v

Combine like terms: -1v + -9v = -10v
11 + -10v = -9 + 9v + -9v

Combine like terms: 9v + -9v = 0
11 + -10v = -9 + 0
11 + -10v = -9

Add '-11' to each side of the equation.
11 + -11 + -10v = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -10v = -9 + -11
-10v = -9 + -11

Combine like terms: -9 + -11 = -20
-10v = -20

Divide each side by '-10'.
v = 2

Simplifying
v = 2

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