3z+1=5z-1

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


Simplifying
3z + 1 = 5z + -1

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

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

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

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

Combine like terms: 5z + -5z = 0
1 + -2z = -1 + 0
1 + -2z = -1

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

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

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

Divide each side by '-2'.
z = 1

Simplifying
z = 1

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