3(v-5)+3=4(v-3)+v

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Solution for 3(v-5)+3=4(v-3)+v equation: 


Simplifying
3(v + -5) + 3 = 4(v + -3) + v

Reorder the terms:
3(-5 + v) + 3 = 4(v + -3) + v
(-5 * 3 + v * 3) + 3 = 4(v + -3) + v
(-15 + 3v) + 3 = 4(v + -3) + v

Reorder the terms:
-15 + 3 + 3v = 4(v + -3) + v

Combine like terms: -15 + 3 = -12
-12 + 3v = 4(v + -3) + v

Reorder the terms:
-12 + 3v = 4(-3 + v) + v
-12 + 3v = (-3 * 4 + v * 4) + v
-12 + 3v = (-12 + 4v) + v

Combine like terms: 4v + v = 5v
-12 + 3v = -12 + 5v

Add '12' to each side of the equation.
-12 + 12 + 3v = -12 + 12 + 5v

Combine like terms: -12 + 12 = 0
0 + 3v = -12 + 12 + 5v
3v = -12 + 12 + 5v

Combine like terms: -12 + 12 = 0
3v = 0 + 5v
3v = 5v

Solving
3v = 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.
3v + -5v = 5v + -5v

Combine like terms: 3v + -5v = -2v
-2v = 5v + -5v

Combine like terms: 5v + -5v = 0
-2v = 0

Divide each side by '-2'.
v = 0

Simplifying
v = 0

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