2+8(-7v+5)=-2(1+8v)+4

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Solution for 2+8(-7v+5)=-2(1+8v)+4 equation: 


Simplifying
2 + 8(-7v + 5) = -2(1 + 8v) + 4

Reorder the terms:
2 + 8(5 + -7v) = -2(1 + 8v) + 4
2 + (5 * 8 + -7v * 8) = -2(1 + 8v) + 4
2 + (40 + -56v) = -2(1 + 8v) + 4

Combine like terms: 2 + 40 = 42
42 + -56v = -2(1 + 8v) + 4
42 + -56v = (1 * -2 + 8v * -2) + 4
42 + -56v = (-2 + -16v) + 4

Reorder the terms:
42 + -56v = -2 + 4 + -16v

Combine like terms: -2 + 4 = 2
42 + -56v = 2 + -16v

Solving
42 + -56v = 2 + -16v

Solving for variable 'v'.

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

Add '16v' to each side of the equation.
42 + -56v + 16v = 2 + -16v + 16v

Combine like terms: -56v + 16v = -40v
42 + -40v = 2 + -16v + 16v

Combine like terms: -16v + 16v = 0
42 + -40v = 2 + 0
42 + -40v = 2

Add '-42' to each side of the equation.
42 + -42 + -40v = 2 + -42

Combine like terms: 42 + -42 = 0
0 + -40v = 2 + -42
-40v = 2 + -42

Combine like terms: 2 + -42 = -40
-40v = -40

Divide each side by '-40'.
v = 1

Simplifying
v = 1

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