15x+7y+3z+w-8=040x+13y+4z+w+5=0

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Solution for 15x+7y+3z+w-8=040x+13y+4z+w+5=0 equation:


Simplifying
15x + 7y + 3z + w + -8 = 0

Reorder the terms:
-8 + w + 15x + 7y + 3z = 0

Solving
-8 + w + 15x + 7y + 3z = 0

Solving for variable 'w'.

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

Add '8' to each side of the equation.
-8 + w + 15x + 7y + 8 + 3z = 0 + 8

Reorder the terms:
-8 + 8 + w + 15x + 7y + 3z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + w + 15x + 7y + 3z = 0 + 8
w + 15x + 7y + 3z = 0 + 8

Combine like terms: 0 + 8 = 8
w + 15x + 7y + 3z = 8

Add '-15x' to each side of the equation.
w + 15x + 7y + -15x + 3z = 8 + -15x

Reorder the terms:
w + 15x + -15x + 7y + 3z = 8 + -15x

Combine like terms: 15x + -15x = 0
w + 0 + 7y + 3z = 8 + -15x
w + 7y + 3z = 8 + -15x

Add '-7y' to each side of the equation.
w + 7y + -7y + 3z = 8 + -15x + -7y

Combine like terms: 7y + -7y = 0
w + 0 + 3z = 8 + -15x + -7y
w + 3z = 8 + -15x + -7y

Add '-3z' to each side of the equation.
w + 3z + -3z = 8 + -15x + -7y + -3z

Combine like terms: 3z + -3z = 0
w + 0 = 8 + -15x + -7y + -3z
w = 8 + -15x + -7y + -3z

Simplifying
w = 8 + -15x + -7y + -3z

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