(13x-2y)-(4v+6w)+(12+7x)-(15w+9y)+(3x-16)-(5y+11w)+(2x-8)=

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Solution for (13x-2y)-(4v+6w)+(12+7x)-(15w+9y)+(3x-16)-(5y+11w)+(2x-8)= equation:


Simplifying
(13x + -2y) + -1(4v + 6w) + (12 + 7x) + -1(15w + 9y) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0

Remove parenthesis around (13x + -2y)
13x + -2y + -1(4v + 6w) + (12 + 7x) + -1(15w + 9y) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0
13x + -2y + (4v * -1 + 6w * -1) + (12 + 7x) + -1(15w + 9y) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0
13x + -2y + (-4v + -6w) + (12 + 7x) + -1(15w + 9y) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0

Remove parenthesis around (12 + 7x)
13x + -2y + -4v + -6w + 12 + 7x + -1(15w + 9y) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0
13x + -2y + -4v + -6w + 12 + 7x + (15w * -1 + 9y * -1) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0
13x + -2y + -4v + -6w + 12 + 7x + (-15w + -9y) + (3x + -16) + -1(5y + 11w) + (2x + -8) = 0

Reorder the terms:
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + (-16 + 3x) + -1(5y + 11w) + (2x + -8) = 0

Remove parenthesis around (-16 + 3x)
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + -16 + 3x + -1(5y + 11w) + (2x + -8) = 0

Reorder the terms:
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + -16 + 3x + -1(11w + 5y) + (2x + -8) = 0
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + -16 + 3x + (11w * -1 + 5y * -1) + (2x + -8) = 0
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + -16 + 3x + (-11w + -5y) + (2x + -8) = 0

Reorder the terms:
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + -16 + 3x + -11w + -5y + (-8 + 2x) = 0

Remove parenthesis around (-8 + 2x)
13x + -2y + -4v + -6w + 12 + 7x + -15w + -9y + -16 + 3x + -11w + -5y + -8 + 2x = 0

Reorder the terms:
12 + -16 + -8 + -4v + -6w + -15w + -11w + 13x + 7x + 3x + 2x + -2y + -9y + -5y = 0

Combine like terms: 12 + -16 = -4
-4 + -8 + -4v + -6w + -15w + -11w + 13x + 7x + 3x + 2x + -2y + -9y + -5y = 0

Combine like terms: -4 + -8 = -12
-12 + -4v + -6w + -15w + -11w + 13x + 7x + 3x + 2x + -2y + -9y + -5y = 0

Combine like terms: -6w + -15w = -21w
-12 + -4v + -21w + -11w + 13x + 7x + 3x + 2x + -2y + -9y + -5y = 0

Combine like terms: -21w + -11w = -32w
-12 + -4v + -32w + 13x + 7x + 3x + 2x + -2y + -9y + -5y = 0

Combine like terms: 13x + 7x = 20x
-12 + -4v + -32w + 20x + 3x + 2x + -2y + -9y + -5y = 0

Combine like terms: 20x + 3x = 23x
-12 + -4v + -32w + 23x + 2x + -2y + -9y + -5y = 0

Combine like terms: 23x + 2x = 25x
-12 + -4v + -32w + 25x + -2y + -9y + -5y = 0

Combine like terms: -2y + -9y = -11y
-12 + -4v + -32w + 25x + -11y + -5y = 0

Combine like terms: -11y + -5y = -16y
-12 + -4v + -32w + 25x + -16y = 0

Solving
-12 + -4v + -32w + 25x + -16y = 0

Solving for variable 'v'.

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

Add '12' to each side of the equation.
-12 + -4v + -32w + 25x + 12 + -16y = 0 + 12

Reorder the terms:
-12 + 12 + -4v + -32w + 25x + -16y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -4v + -32w + 25x + -16y = 0 + 12
-4v + -32w + 25x + -16y = 0 + 12

Combine like terms: 0 + 12 = 12
-4v + -32w + 25x + -16y = 12

Add '32w' to each side of the equation.
-4v + -32w + 25x + 32w + -16y = 12 + 32w

Reorder the terms:
-4v + -32w + 32w + 25x + -16y = 12 + 32w

Combine like terms: -32w + 32w = 0
-4v + 0 + 25x + -16y = 12 + 32w
-4v + 25x + -16y = 12 + 32w

Add '-25x' to each side of the equation.
-4v + 25x + -25x + -16y = 12 + 32w + -25x

Combine like terms: 25x + -25x = 0
-4v + 0 + -16y = 12 + 32w + -25x
-4v + -16y = 12 + 32w + -25x

Add '16y' to each side of the equation.
-4v + -16y + 16y = 12 + 32w + -25x + 16y

Combine like terms: -16y + 16y = 0
-4v + 0 = 12 + 32w + -25x + 16y
-4v = 12 + 32w + -25x + 16y

Divide each side by '-4'.
v = -3 + -8w + 6.25x + -4y

Simplifying
v = -3 + -8w + 6.25x + -4y

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