5z-4=3z+1

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Solution for 5z-4=3z+1 equation:


Simplifying
5z + -4 = 3z + 1

Reorder the terms:
-4 + 5z = 3z + 1

Reorder the terms:
-4 + 5z = 1 + 3z

Solving
-4 + 5z = 1 + 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.
-4 + 5z + -3z = 1 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-4 + 2z = 1 + 3z + -3z

Combine like terms: 3z + -3z = 0
-4 + 2z = 1 + 0
-4 + 2z = 1

Add '4' to each side of the equation.
-4 + 4 + 2z = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 2z = 1 + 4
2z = 1 + 4

Combine like terms: 1 + 4 = 5
2z = 5

Divide each side by '2'.
z = 2.5

Simplifying
z = 2.5

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