4x-2y+14w+3y-5w=7x

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Solution for 4x-2y+14w+3y-5w=7x equation: 


Simplifying
4x + -2y + 14w + 3y + -5w = 7x

Reorder the terms:
14w + -5w + 4x + -2y + 3y = 7x

Combine like terms: 14w + -5w = 9w
9w + 4x + -2y + 3y = 7x

Combine like terms: -2y + 3y = 1y
9w + 4x + 1y = 7x

Solving
9w + 4x + 1y = 7x

Solving for variable 'w'.

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

Add '-4x' to each side of the equation.
9w + 4x + -4x + 1y = 7x + -4x

Combine like terms: 4x + -4x = 0
9w + 0 + 1y = 7x + -4x
9w + 1y = 7x + -4x

Combine like terms: 7x + -4x = 3x
9w + 1y = 3x

Add '-1y' to each side of the equation.
9w + 1y + -1y = 3x + -1y

Combine like terms: 1y + -1y = 0
9w + 0 = 3x + -1y
9w = 3x + -1y

Divide each side by '9'.
w = 0.3333333333x + -0.1111111111y

Simplifying
w = 0.3333333333x + -0.1111111111y

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