-4(z-9)-(-2z-1)=-3z

Solution for -4(z-9)-(-2z-1)=-3z equation:

Simplifying
-4(z + -9) + -1(-2z + -1) = -3z

Reorder the terms:
-4(-9 + z) + -1(-2z + -1) = -3z
(-9 * -4 + z * -4) + -1(-2z + -1) = -3z
(36 + -4z) + -1(-2z + -1) = -3z

Reorder the terms:
36 + -4z + -1(-1 + -2z) = -3z
36 + -4z + (-1 * -1 + -2z * -1) = -3z
36 + -4z + (1 + 2z) = -3z

Reorder the terms:
36 + 1 + -4z + 2z = -3z

Combine like terms: 36 + 1 = 37
37 + -4z + 2z = -3z

Combine like terms: -4z + 2z = -2z
37 + -2z = -3z

Solving
37 + -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.
37 + -2z + 3z = -3z + 3z

Combine like terms: -2z + 3z = 1z
37 + 1z = -3z + 3z

Combine like terms: -3z + 3z = 0
37 + 1z = 0

Add '-37' to each side of the equation.
37 + -37 + 1z = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 1z = 0 + -37
1z = 0 + -37

Combine like terms: 0 + -37 = -37
1z = -37

Divide each side by '1'.
z = -37

Simplifying
z = -37