7-8=z+3z

Solution for 7-8=z+3z equation:

Simplifying
7 + -8 = z + 3z

Combine like terms: 7 + -8 = -1
-1 = z + 3z

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

Solving
-1 = 4z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-4z' to each side of the equation.
-1 + -4z = 4z + -4z

Combine like terms: 4z + -4z = 0
-1 + -4z = 0

Add '1' to each side of the equation.
-1 + 1 + -4z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4z = 0 + 1
-4z = 0 + 1

Combine like terms: 0 + 1 = 1
-4z = 1

Divide each side by '-4'.
z = -0.25

Simplifying
z = -0.25