3z-4+z+6=5z-1

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Solution for 3z-4+z+6=5z-1 equation: 


Simplifying
3z + -4 + z + 6 = 5z + -1

Reorder the terms:
-4 + 6 + 3z + z = 5z + -1

Combine like terms: -4 + 6 = 2
2 + 3z + z = 5z + -1

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

Reorder the terms:
2 + 4z = -1 + 5z

Solving
2 + 4z = -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.
2 + 4z + -5z = -1 + 5z + -5z

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

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

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

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

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

Divide each side by '-1'.
z = 3

Simplifying
z = 3

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