5v+1=6-5(4v-4)

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Solution for 5v+1=6-5(4v-4) equation:


Simplifying
5v + 1 = 6 + -5(4v + -4)

Reorder the terms:
1 + 5v = 6 + -5(4v + -4)

Reorder the terms:
1 + 5v = 6 + -5(-4 + 4v)
1 + 5v = 6 + (-4 * -5 + 4v * -5)
1 + 5v = 6 + (20 + -20v)

Combine like terms: 6 + 20 = 26
1 + 5v = 26 + -20v

Solving
1 + 5v = 26 + -20v

Solving for variable 'v'.

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

Add '20v' to each side of the equation.
1 + 5v + 20v = 26 + -20v + 20v

Combine like terms: 5v + 20v = 25v
1 + 25v = 26 + -20v + 20v

Combine like terms: -20v + 20v = 0
1 + 25v = 26 + 0
1 + 25v = 26

Add '-1' to each side of the equation.
1 + -1 + 25v = 26 + -1

Combine like terms: 1 + -1 = 0
0 + 25v = 26 + -1
25v = 26 + -1

Combine like terms: 26 + -1 = 25
25v = 25

Divide each side by '25'.
v = 1

Simplifying
v = 1

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