16+(z+w)=(8-z)+w

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Solution for 16+(z+w)=(8-z)+w equation:


Simplifying
16 + (z + w) = (8 + -1z) + w

Reorder the terms:
16 + (w + z) = (8 + -1z) + w

Remove parenthesis around (w + z)
16 + w + z = (8 + -1z) + w

Remove parenthesis around (8 + -1z)
16 + w + z = 8 + -1z + w

Reorder the terms:
16 + w + z = 8 + w + -1z

Add '-1w' to each side of the equation.
16 + w + -1w + z = 8 + w + -1w + -1z

Combine like terms: w + -1w = 0
16 + 0 + z = 8 + w + -1w + -1z
16 + z = 8 + w + -1w + -1z

Combine like terms: w + -1w = 0
16 + z = 8 + 0 + -1z
16 + z = 8 + -1z

Solving
16 + z = 8 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
16 + z + z = 8 + -1z + z

Combine like terms: z + z = 2z
16 + 2z = 8 + -1z + z

Combine like terms: -1z + z = 0
16 + 2z = 8 + 0
16 + 2z = 8

Add '-16' to each side of the equation.
16 + -16 + 2z = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2z = 8 + -16
2z = 8 + -16

Combine like terms: 8 + -16 = -8
2z = -8

Divide each side by '2'.
z = -4

Simplifying
z = -4

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