7z-3=2z+5

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Solution for 7z-3=2z+5 equation:


Simplifying
7z + -3 = 2z + 5

Reorder the terms:
-3 + 7z = 2z + 5

Reorder the terms:
-3 + 7z = 5 + 2z

Solving
-3 + 7z = 5 + 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.
-3 + 7z + -2z = 5 + 2z + -2z

Combine like terms: 7z + -2z = 5z
-3 + 5z = 5 + 2z + -2z

Combine like terms: 2z + -2z = 0
-3 + 5z = 5 + 0
-3 + 5z = 5

Add '3' to each side of the equation.
-3 + 3 + 5z = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 5z = 5 + 3
5z = 5 + 3

Combine like terms: 5 + 3 = 8
5z = 8

Divide each side by '5'.
z = 1.6

Simplifying
z = 1.6

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