3(v+9)=8v+17

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Solution for 3(v+9)=8v+17 equation:


Simplifying
3(v + 9) = 8v + 17

Reorder the terms:
3(9 + v) = 8v + 17
(9 * 3 + v * 3) = 8v + 17
(27 + 3v) = 8v + 17

Reorder the terms:
27 + 3v = 17 + 8v

Solving
27 + 3v = 17 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
27 + 3v + -8v = 17 + 8v + -8v

Combine like terms: 3v + -8v = -5v
27 + -5v = 17 + 8v + -8v

Combine like terms: 8v + -8v = 0
27 + -5v = 17 + 0
27 + -5v = 17

Add '-27' to each side of the equation.
27 + -27 + -5v = 17 + -27

Combine like terms: 27 + -27 = 0
0 + -5v = 17 + -27
-5v = 17 + -27

Combine like terms: 17 + -27 = -10
-5v = -10

Divide each side by '-5'.
v = 2

Simplifying
v = 2

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