4z+1=5z-4

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


Simplifying
4z + 1 = 5z + -4

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

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

Solving
1 + 4z = -4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
1 + 4z + -5z = -4 + 5z + -5z

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

Combine like terms: 5z + -5z = 0
1 + -1z = -4 + 0
1 + -1z = -4

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

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

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

Divide each side by '-1'.
z = 5

Simplifying
z = 5

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