4x+5y+6z+7w=-5

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Solution for 4x+5y+6z+7w=-5 equation:


Simplifying
4x + 5y + 6z + 7w = -5

Reorder the terms:
7w + 4x + 5y + 6z = -5

Solving
7w + 4x + 5y + 6z = -5

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.
7w + 4x + 5y + -4x + 6z = -5 + -4x

Reorder the terms:
7w + 4x + -4x + 5y + 6z = -5 + -4x

Combine like terms: 4x + -4x = 0
7w + 0 + 5y + 6z = -5 + -4x
7w + 5y + 6z = -5 + -4x

Add '-5y' to each side of the equation.
7w + 5y + -5y + 6z = -5 + -4x + -5y

Combine like terms: 5y + -5y = 0
7w + 0 + 6z = -5 + -4x + -5y
7w + 6z = -5 + -4x + -5y

Add '-6z' to each side of the equation.
7w + 6z + -6z = -5 + -4x + -5y + -6z

Combine like terms: 6z + -6z = 0
7w + 0 = -5 + -4x + -5y + -6z
7w = -5 + -4x + -5y + -6z

Divide each side by '7'.
w = -0.7142857143 + -0.5714285714x + -0.7142857143y + -0.8571428571z

Simplifying
w = -0.7142857143 + -0.5714285714x + -0.7142857143y + -0.8571428571z

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