-4(-7v+5)-7v=7(v-3)-1

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Solution for -4(-7v+5)-7v=7(v-3)-1 equation:


Simplifying
-4(-7v + 5) + -7v = 7(v + -3) + -1

Reorder the terms:
-4(5 + -7v) + -7v = 7(v + -3) + -1
(5 * -4 + -7v * -4) + -7v = 7(v + -3) + -1
(-20 + 28v) + -7v = 7(v + -3) + -1

Combine like terms: 28v + -7v = 21v
-20 + 21v = 7(v + -3) + -1

Reorder the terms:
-20 + 21v = 7(-3 + v) + -1
-20 + 21v = (-3 * 7 + v * 7) + -1
-20 + 21v = (-21 + 7v) + -1

Reorder the terms:
-20 + 21v = -21 + -1 + 7v

Combine like terms: -21 + -1 = -22
-20 + 21v = -22 + 7v

Solving
-20 + 21v = -22 + 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.
-20 + 21v + -7v = -22 + 7v + -7v

Combine like terms: 21v + -7v = 14v
-20 + 14v = -22 + 7v + -7v

Combine like terms: 7v + -7v = 0
-20 + 14v = -22 + 0
-20 + 14v = -22

Add '20' to each side of the equation.
-20 + 20 + 14v = -22 + 20

Combine like terms: -20 + 20 = 0
0 + 14v = -22 + 20
14v = -22 + 20

Combine like terms: -22 + 20 = -2
14v = -2

Divide each side by '14'.
v = -0.1428571429

Simplifying
v = -0.1428571429

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