-6=4z+10-7

Solution for -6=4z+10-7 equation:

Simplifying
-6 = 4z + 10 + -7

Reorder the terms:
-6 = 10 + -7 + 4z

Combine like terms: 10 + -7 = 3
-6 = 3 + 4z

Solving
-6 = 3 + 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.
-6 + -4z = 3 + 4z + -4z

Combine like terms: 4z + -4z = 0
-6 + -4z = 3 + 0
-6 + -4z = 3

Add '6' to each side of the equation.
-6 + 6 + -4z = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -4z = 3 + 6
-4z = 3 + 6

Combine like terms: 3 + 6 = 9
-4z = 9

Divide each side by '-4'.
z = -2.25

Simplifying
z = -2.25