205=-5(8v-1)

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Solution for 205=-5(8v-1) equation:


Simplifying
205 = -5(8v + -1)

Reorder the terms:
205 = -5(-1 + 8v)
205 = (-1 * -5 + 8v * -5)
205 = (5 + -40v)

Solving
205 = 5 + -40v

Solving for variable 'v'.

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

Add '40v' to each side of the equation.
205 + 40v = 5 + -40v + 40v

Combine like terms: -40v + 40v = 0
205 + 40v = 5 + 0
205 + 40v = 5

Add '-205' to each side of the equation.
205 + -205 + 40v = 5 + -205

Combine like terms: 205 + -205 = 0
0 + 40v = 5 + -205
40v = 5 + -205

Combine like terms: 5 + -205 = -200
40v = -200

Divide each side by '40'.
v = -5

Simplifying
v = -5

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