Answer:
[tex] \huge{ \boxed{ \sf{z = 1}}}[/tex]
Step-by-step explanation:
[tex] \mathfrak{Let's \: solve}[/tex]
[tex] \star{ \text{ \: - 5z + 1 = - 4z}}[/tex]
[tex] \text{Step \: 1 \: : }[/tex] Move 4z to left hand side and change it's sign.
Similarly, Move 1 to right hand side and change it's sign
[tex] \mapsto{ \sf{ - 5z + 4z = - 1}}[/tex]
[tex] \text{Step \: 2 \: : }[/tex] Collect like terms. Like terms are those which have the same base.
[tex] \mapsto{ \sf{ - z = - 1}}[/tex]
[tex] \text{Step \: 3 \: : }[/tex] Change the sign on both sides of the equation
[tex] \sf{z = 1}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl