7z+21=8z-8

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Solution for 7z+21=8z-8 equation:


Simplifying
7z + 21 = 8z + -8

Reorder the terms:
21 + 7z = 8z + -8

Reorder the terms:
21 + 7z = -8 + 8z

Solving
21 + 7z = -8 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
21 + 7z + -8z = -8 + 8z + -8z

Combine like terms: 7z + -8z = -1z
21 + -1z = -8 + 8z + -8z

Combine like terms: 8z + -8z = 0
21 + -1z = -8 + 0
21 + -1z = -8

Add '-21' to each side of the equation.
21 + -21 + -1z = -8 + -21

Combine like terms: 21 + -21 = 0
0 + -1z = -8 + -21
-1z = -8 + -21

Combine like terms: -8 + -21 = -29
-1z = -29

Divide each side by '-1'.
z = 29

Simplifying
z = 29

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