4z+1=z-6

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

Simplifying
4z + 1 = z + -6

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

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

Solving
1 + 4z = -6 + 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 + 4z + -1z = -6 + z + -1z

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

Combine like terms: z + -1z = 0
1 + 3z = -6 + 0
1 + 3z = -6

Add '-1' to each side of the equation.
1 + -1 + 3z = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 3z = -6 + -1
3z = -6 + -1

Combine like terms: -6 + -1 = -7
3z = -7

Divide each side by '3'.
z = -2.333333333

Simplifying
z = -2.333333333