7(z+6)-(5z-1)=11z

Solution for 7(z+6)-(5z-1)=11z equation:

Simplifying
7(z + 6) + -1(5z + -1) = 11z

Reorder the terms:
7(6 + z) + -1(5z + -1) = 11z
(6 * 7 + z * 7) + -1(5z + -1) = 11z
(42 + 7z) + -1(5z + -1) = 11z

Reorder the terms:
42 + 7z + -1(-1 + 5z) = 11z
42 + 7z + (-1 * -1 + 5z * -1) = 11z
42 + 7z + (1 + -5z) = 11z

Reorder the terms:
42 + 1 + 7z + -5z = 11z

Combine like terms: 42 + 1 = 43
43 + 7z + -5z = 11z

Combine like terms: 7z + -5z = 2z
43 + 2z = 11z

Solving
43 + 2z = 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
43 + 2z + -11z = 11z + -11z

Combine like terms: 2z + -11z = -9z
43 + -9z = 11z + -11z

Combine like terms: 11z + -11z = 0
43 + -9z = 0

Add '-43' to each side of the equation.
43 + -43 + -9z = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -9z = 0 + -43
-9z = 0 + -43

Combine like terms: 0 + -43 = -43
-9z = -43

Divide each side by '-9'.
z = 4.777777778

Simplifying
z = 4.777777778