1=z(3+10)-6z

Solution for 1=z(3+10)-6z equation:

Simplifying
1 = z(3 + 10) + -6z

Combine like terms: 3 + 10 = 13
1 = z(13) + -6z

Reorder the terms for easier multiplication:
1 = 13z + -6z

Combine like terms: 13z + -6z = 7z
1 = 7z

Solving
1 = 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
1 + -7z = 7z + -7z

Combine like terms: 7z + -7z = 0
1 + -7z = 0

Add '-1' to each side of the equation.
1 + -1 + -7z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7z = 0 + -1
-7z = 0 + -1

Combine like terms: 0 + -1 = -1
-7z = -1

Divide each side by '-7'.
z = 0.1428571429

Simplifying
z = 0.1428571429