3z+1=z-6

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

Simplifying
3z + 1 = z + -6

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

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

Solving
1 + 3z = -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 + 3z + -1z = -6 + z + -1z

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

Combine like terms: z + -1z = 0
1 + 2z = -6 + 0
1 + 2z = -6

Add '-1' to each side of the equation.
1 + -1 + 2z = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 2z = -6 + -1
2z = -6 + -1

Combine like terms: -6 + -1 = -7
2z = -7

Divide each side by '2'.
z = -3.5

Simplifying
z = -3.5