7(v+4)=2v+33

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Solution for 7(v+4)=2v+33 equation:


Simplifying
7(v + 4) = 2v + 33

Reorder the terms:
7(4 + v) = 2v + 33
(4 * 7 + v * 7) = 2v + 33
(28 + 7v) = 2v + 33

Reorder the terms:
28 + 7v = 33 + 2v

Solving
28 + 7v = 33 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
28 + 7v + -2v = 33 + 2v + -2v

Combine like terms: 7v + -2v = 5v
28 + 5v = 33 + 2v + -2v

Combine like terms: 2v + -2v = 0
28 + 5v = 33 + 0
28 + 5v = 33

Add '-28' to each side of the equation.
28 + -28 + 5v = 33 + -28

Combine like terms: 28 + -28 = 0
0 + 5v = 33 + -28
5v = 33 + -28

Combine like terms: 33 + -28 = 5
5v = 5

Divide each side by '5'.
v = 1

Simplifying
v = 1

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