2=7v+4(v-7)

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


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

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

Reorder the terms:
2 = -28 + 7v + 4v

Combine like terms: 7v + 4v = 11v
2 = -28 + 11v

Solving
2 = -28 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
2 + -11v = -28 + 11v + -11v

Combine like terms: 11v + -11v = 0
2 + -11v = -28 + 0
2 + -11v = -28

Add '-2' to each side of the equation.
2 + -2 + -11v = -28 + -2

Combine like terms: 2 + -2 = 0
0 + -11v = -28 + -2
-11v = -28 + -2

Combine like terms: -28 + -2 = -30
-11v = -30

Divide each side by '-11'.
v = 2.727272727

Simplifying
v = 2.727272727

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