2v+14-2v=2v+8(-5v+16)

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Solution for 2v+14-2v=2v+8(-5v+16) equation:


Simplifying
2v + 14 + -2v = 2v + 8(-5v + 16)

Reorder the terms:
14 + 2v + -2v = 2v + 8(-5v + 16)

Combine like terms: 2v + -2v = 0
14 + 0 = 2v + 8(-5v + 16)
14 = 2v + 8(-5v + 16)

Reorder the terms:
14 = 2v + 8(16 + -5v)
14 = 2v + (16 * 8 + -5v * 8)
14 = 2v + (128 + -40v)

Reorder the terms:
14 = 128 + 2v + -40v

Combine like terms: 2v + -40v = -38v
14 = 128 + -38v

Solving
14 = 128 + -38v

Solving for variable 'v'.

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

Add '38v' to each side of the equation.
14 + 38v = 128 + -38v + 38v

Combine like terms: -38v + 38v = 0
14 + 38v = 128 + 0
14 + 38v = 128

Add '-14' to each side of the equation.
14 + -14 + 38v = 128 + -14

Combine like terms: 14 + -14 = 0
0 + 38v = 128 + -14
38v = 128 + -14

Combine like terms: 128 + -14 = 114
38v = 114

Divide each side by '38'.
v = 3

Simplifying
v = 3

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