3v+11=7(v+5)

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Solution for 3v+11=7(v+5) equation:


Simplifying
3v + 11 = 7(v + 5)

Reorder the terms:
11 + 3v = 7(v + 5)

Reorder the terms:
11 + 3v = 7(5 + v)
11 + 3v = (5 * 7 + v * 7)
11 + 3v = (35 + 7v)

Solving
11 + 3v = 35 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
11 + 3v + -7v = 35 + 7v + -7v

Combine like terms: 3v + -7v = -4v
11 + -4v = 35 + 7v + -7v

Combine like terms: 7v + -7v = 0
11 + -4v = 35 + 0
11 + -4v = 35

Add '-11' to each side of the equation.
11 + -11 + -4v = 35 + -11

Combine like terms: 11 + -11 = 0
0 + -4v = 35 + -11
-4v = 35 + -11

Combine like terms: 35 + -11 = 24
-4v = 24

Divide each side by '-4'.
v = -6

Simplifying
v = -6

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