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

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

Simplifying
-3(3 + z) + 4(z + -6) = -4
(3 * -3 + z * -3) + 4(z + -6) = -4
(-9 + -3z) + 4(z + -6) = -4

Reorder the terms:
-9 + -3z + 4(-6 + z) = -4
-9 + -3z + (-6 * 4 + z * 4) = -4
-9 + -3z + (-24 + 4z) = -4

Reorder the terms:
-9 + -24 + -3z + 4z = -4

Combine like terms: -9 + -24 = -33
-33 + -3z + 4z = -4

Combine like terms: -3z + 4z = 1z
-33 + 1z = -4

Solving
-33 + 1z = -4

Solving for variable 'z'.

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

Add '33' to each side of the equation.
-33 + 33 + 1z = -4 + 33

Combine like terms: -33 + 33 = 0
0 + 1z = -4 + 33
1z = -4 + 33

Combine like terms: -4 + 33 = 29
1z = 29

Divide each side by '1'.
z = 29

Simplifying
z = 29