-4(-7v+9)-7v=(v-3)-5

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Solution for -4(-7v+9)-7v=(v-3)-5 equation:


Simplifying
-4(-7v + 9) + -7v = (v + -3) + -5

Reorder the terms:
-4(9 + -7v) + -7v = (v + -3) + -5
(9 * -4 + -7v * -4) + -7v = (v + -3) + -5
(-36 + 28v) + -7v = (v + -3) + -5

Combine like terms: 28v + -7v = 21v
-36 + 21v = (v + -3) + -5

Reorder the terms:
-36 + 21v = (-3 + v) + -5

Remove parenthesis around (-3 + v)
-36 + 21v = -3 + v + -5

Reorder the terms:
-36 + 21v = -3 + -5 + v

Combine like terms: -3 + -5 = -8
-36 + 21v = -8 + v

Solving
-36 + 21v = -8 + v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
-36 + 21v + -1v = -8 + v + -1v

Combine like terms: 21v + -1v = 20v
-36 + 20v = -8 + v + -1v

Combine like terms: v + -1v = 0
-36 + 20v = -8 + 0
-36 + 20v = -8

Add '36' to each side of the equation.
-36 + 36 + 20v = -8 + 36

Combine like terms: -36 + 36 = 0
0 + 20v = -8 + 36
20v = -8 + 36

Combine like terms: -8 + 36 = 28
20v = 28

Divide each side by '20'.
v = 1.4

Simplifying
v = 1.4

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