4(z+6)-(3+6z)=-3z

Solution for 4(z+6)-(3+6z)=-3z equation:

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

Reorder the terms:
4(6 + z) + -1(3 + 6z) = -3z
(6 * 4 + z * 4) + -1(3 + 6z) = -3z
(24 + 4z) + -1(3 + 6z) = -3z
24 + 4z + (3 * -1 + 6z * -1) = -3z
24 + 4z + (-3 + -6z) = -3z

Reorder the terms:
24 + -3 + 4z + -6z = -3z

Combine like terms: 24 + -3 = 21
21 + 4z + -6z = -3z

Combine like terms: 4z + -6z = -2z
21 + -2z = -3z

Solving
21 + -2z = -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
21 + -2z + 3z = -3z + 3z

Combine like terms: -2z + 3z = 1z
21 + 1z = -3z + 3z

Combine like terms: -3z + 3z = 0
21 + 1z = 0

Add '-21' to each side of the equation.
21 + -21 + 1z = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 1z = 0 + -21
1z = 0 + -21

Combine like terms: 0 + -21 = -21
1z = -21

Divide each side by '1'.
z = -21

Simplifying
z = -21