7z-8=-2z+19

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Solution for 7z-8=-2z+19 equation:


Simplifying
7z + -8 = -2z + 19

Reorder the terms:
-8 + 7z = -2z + 19

Reorder the terms:
-8 + 7z = 19 + -2z

Solving
-8 + 7z = 19 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-8 + 7z + 2z = 19 + -2z + 2z

Combine like terms: 7z + 2z = 9z
-8 + 9z = 19 + -2z + 2z

Combine like terms: -2z + 2z = 0
-8 + 9z = 19 + 0
-8 + 9z = 19

Add '8' to each side of the equation.
-8 + 8 + 9z = 19 + 8

Combine like terms: -8 + 8 = 0
0 + 9z = 19 + 8
9z = 19 + 8

Combine like terms: 19 + 8 = 27
9z = 27

Divide each side by '9'.
z = 3

Simplifying
z = 3

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