-6(z+5)-(3+3z)=-10z

Solution for -6(z+5)-(3+3z)=-10z equation:

Simplifying
-6(z + 5) + -1(3 + 3z) = -10z

Reorder the terms:
-6(5 + z) + -1(3 + 3z) = -10z
(5 * -6 + z * -6) + -1(3 + 3z) = -10z
(-30 + -6z) + -1(3 + 3z) = -10z
-30 + -6z + (3 * -1 + 3z * -1) = -10z
-30 + -6z + (-3 + -3z) = -10z

Reorder the terms:
-30 + -3 + -6z + -3z = -10z

Combine like terms: -30 + -3 = -33
-33 + -6z + -3z = -10z

Combine like terms: -6z + -3z = -9z
-33 + -9z = -10z

Solving
-33 + -9z = -10z

Solving for variable 'z'.

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

Add '10z' to each side of the equation.
-33 + -9z + 10z = -10z + 10z

Combine like terms: -9z + 10z = 1z
-33 + 1z = -10z + 10z

Combine like terms: -10z + 10z = 0
-33 + 1z = 0

Add '33' to each side of the equation.
-33 + 33 + 1z = 0 + 33

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

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

Divide each side by '1'.
z = 33

Simplifying
z = 33