6(z-6)+5(3-2z)+z=0

Solution for 6(z-6)+5(3-2z)+z=0 equation:

Simplifying
6(z + -6) + 5(3 + -2z) + z = 0

Reorder the terms:
6(-6 + z) + 5(3 + -2z) + z = 0
(-6 * 6 + z * 6) + 5(3 + -2z) + z = 0
(-36 + 6z) + 5(3 + -2z) + z = 0
-36 + 6z + (3 * 5 + -2z * 5) + z = 0
-36 + 6z + (15 + -10z) + z = 0

Reorder the terms:
-36 + 15 + 6z + -10z + z = 0

Combine like terms: -36 + 15 = -21
-21 + 6z + -10z + z = 0

Combine like terms: 6z + -10z = -4z
-21 + -4z + z = 0

Combine like terms: -4z + z = -3z
-21 + -3z = 0

Solving
-21 + -3z = 0

Solving for variable 'z'.

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

Add '21' to each side of the equation.
-21 + 21 + -3z = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -3z = 0 + 21
-3z = 0 + 21

Combine like terms: 0 + 21 = 21
-3z = 21

Divide each side by '-3'.
z = -7

Simplifying
z = -7