2v+3(8-v)=16

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Solution for 2v+3(8-v)=16 equation:


Simplifying
2v + 3(8 + -1v) = 16
2v + (8 * 3 + -1v * 3) = 16
2v + (24 + -3v) = 16

Reorder the terms:
24 + 2v + -3v = 16

Combine like terms: 2v + -3v = -1v
24 + -1v = 16

Solving
24 + -1v = 16

Solving for variable 'v'.

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

Add '-24' to each side of the equation.
24 + -24 + -1v = 16 + -24

Combine like terms: 24 + -24 = 0
0 + -1v = 16 + -24
-1v = 16 + -24

Combine like terms: 16 + -24 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8

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