5z+1=z-4

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


Simplifying
5z + 1 = z + -4

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

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

Solving
1 + 5z = -4 + z

Solving for variable 'z'.

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

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

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

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

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

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

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

Divide each side by '4'.
z = -1.25

Simplifying
z = -1.25

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