7x+5y+7z+10w=31

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Solution for 7x+5y+7z+10w=31 equation:


Simplifying
7x + 5y + 7z + 10w = 31

Reorder the terms:
10w + 7x + 5y + 7z = 31

Solving
10w + 7x + 5y + 7z = 31

Solving for variable 'w'.

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

Add '-7x' to each side of the equation.
10w + 7x + 5y + -7x + 7z = 31 + -7x

Reorder the terms:
10w + 7x + -7x + 5y + 7z = 31 + -7x

Combine like terms: 7x + -7x = 0
10w + 0 + 5y + 7z = 31 + -7x
10w + 5y + 7z = 31 + -7x

Add '-5y' to each side of the equation.
10w + 5y + -5y + 7z = 31 + -7x + -5y

Combine like terms: 5y + -5y = 0
10w + 0 + 7z = 31 + -7x + -5y
10w + 7z = 31 + -7x + -5y

Add '-7z' to each side of the equation.
10w + 7z + -7z = 31 + -7x + -5y + -7z

Combine like terms: 7z + -7z = 0
10w + 0 = 31 + -7x + -5y + -7z
10w = 31 + -7x + -5y + -7z

Divide each side by '10'.
w = 3.1 + -0.7x + -0.5y + -0.7z

Simplifying
w = 3.1 + -0.7x + -0.5y + -0.7z

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