15v+(-6v+5)-2-(-v+3)=-(7v+23)-v+(3-2v)

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Solution for 15v+(-6v+5)-2-(-v+3)=-(7v+23)-v+(3-2v) equation: 


Simplifying
15v + (-6v + 5) + -2 + -1(-1v + 3) = -1(7v + 23) + -1v + (3 + -2v)

Reorder the terms:
15v + (5 + -6v) + -2 + -1(-1v + 3) = -1(7v + 23) + -1v + (3 + -2v)

Remove parenthesis around (5 + -6v)
15v + 5 + -6v + -2 + -1(-1v + 3) = -1(7v + 23) + -1v + (3 + -2v)

Reorder the terms:
15v + 5 + -6v + -2 + -1(3 + -1v) = -1(7v + 23) + -1v + (3 + -2v)
15v + 5 + -6v + -2 + (3 * -1 + -1v * -1) = -1(7v + 23) + -1v + (3 + -2v)
15v + 5 + -6v + -2 + (-3 + 1v) = -1(7v + 23) + -1v + (3 + -2v)

Reorder the terms:
5 + -2 + -3 + 15v + -6v + 1v = -1(7v + 23) + -1v + (3 + -2v)

Combine like terms: 5 + -2 = 3
3 + -3 + 15v + -6v + 1v = -1(7v + 23) + -1v + (3 + -2v)

Combine like terms: 3 + -3 = 0
0 + 15v + -6v + 1v = -1(7v + 23) + -1v + (3 + -2v)
15v + -6v + 1v = -1(7v + 23) + -1v + (3 + -2v)

Combine like terms: 15v + -6v = 9v
9v + 1v = -1(7v + 23) + -1v + (3 + -2v)

Combine like terms: 9v + 1v = 10v
10v = -1(7v + 23) + -1v + (3 + -2v)

Reorder the terms:
10v = -1(23 + 7v) + -1v + (3 + -2v)
10v = (23 * -1 + 7v * -1) + -1v + (3 + -2v)
10v = (-23 + -7v) + -1v + (3 + -2v)

Remove parenthesis around (3 + -2v)
10v = -23 + -7v + -1v + 3 + -2v

Reorder the terms:
10v = -23 + 3 + -7v + -1v + -2v

Combine like terms: -23 + 3 = -20
10v = -20 + -7v + -1v + -2v

Combine like terms: -7v + -1v = -8v
10v = -20 + -8v + -2v

Combine like terms: -8v + -2v = -10v
10v = -20 + -10v

Solving
10v = -20 + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
10v + 10v = -20 + -10v + 10v

Combine like terms: 10v + 10v = 20v
20v = -20 + -10v + 10v

Combine like terms: -10v + 10v = 0
20v = -20 + 0
20v = -20

Divide each side by '20'.
v = -1

Simplifying
v = -1

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