6-(2v+5)=-3(v-5)-4

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Solution for 6-(2v+5)=-3(v-5)-4 equation:


Simplifying
6 + -1(2v + 5) = -3(v + -5) + -4

Reorder the terms:
6 + -1(5 + 2v) = -3(v + -5) + -4
6 + (5 * -1 + 2v * -1) = -3(v + -5) + -4
6 + (-5 + -2v) = -3(v + -5) + -4

Combine like terms: 6 + -5 = 1
1 + -2v = -3(v + -5) + -4

Reorder the terms:
1 + -2v = -3(-5 + v) + -4
1 + -2v = (-5 * -3 + v * -3) + -4
1 + -2v = (15 + -3v) + -4

Reorder the terms:
1 + -2v = 15 + -4 + -3v

Combine like terms: 15 + -4 = 11
1 + -2v = 11 + -3v

Solving
1 + -2v = 11 + -3v

Solving for variable 'v'.

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

Add '3v' to each side of the equation.
1 + -2v + 3v = 11 + -3v + 3v

Combine like terms: -2v + 3v = 1v
1 + 1v = 11 + -3v + 3v

Combine like terms: -3v + 3v = 0
1 + 1v = 11 + 0
1 + 1v = 11

Add '-1' to each side of the equation.
1 + -1 + 1v = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 1v = 11 + -1
1v = 11 + -1

Combine like terms: 11 + -1 = 10
1v = 10

Divide each side by '1'.
v = 10

Simplifying
v = 10

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