4-7(-3v-7)=-38+8v

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Solution for 4-7(-3v-7)=-38+8v equation: 


Simplifying
4 + -7(-3v + -7) = -38 + 8v

Reorder the terms:
4 + -7(-7 + -3v) = -38 + 8v
4 + (-7 * -7 + -3v * -7) = -38 + 8v
4 + (49 + 21v) = -38 + 8v

Combine like terms: 4 + 49 = 53
53 + 21v = -38 + 8v

Solving
53 + 21v = -38 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
53 + 21v + -8v = -38 + 8v + -8v

Combine like terms: 21v + -8v = 13v
53 + 13v = -38 + 8v + -8v

Combine like terms: 8v + -8v = 0
53 + 13v = -38 + 0
53 + 13v = -38

Add '-53' to each side of the equation.
53 + -53 + 13v = -38 + -53

Combine like terms: 53 + -53 = 0
0 + 13v = -38 + -53
13v = -38 + -53

Combine like terms: -38 + -53 = -91
13v = -91

Divide each side by '13'.
v = -7

Simplifying
v = -7

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