4z-5=7z-4z

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Solution for 4z-5=7z-4z equation:


Simplifying
4z + -5 = 7z + -4z

Reorder the terms:
-5 + 4z = 7z + -4z

Combine like terms: 7z + -4z = 3z
-5 + 4z = 3z

Solving
-5 + 4z = 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-5 + 4z + -3z = 3z + -3z

Combine like terms: 4z + -3z = 1z
-5 + 1z = 3z + -3z

Combine like terms: 3z + -3z = 0
-5 + 1z = 0

Add '5' to each side of the equation.
-5 + 5 + 1z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1z = 0 + 5
1z = 0 + 5

Combine like terms: 0 + 5 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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