4(z-9)-(-7z-1)=10z

Solution for 4(z-9)-(-7z-1)=10z equation:

Simplifying
4(z + -9) + -1(-7z + -1) = 10z

Reorder the terms:
4(-9 + z) + -1(-7z + -1) = 10z
(-9 * 4 + z * 4) + -1(-7z + -1) = 10z
(-36 + 4z) + -1(-7z + -1) = 10z

Reorder the terms:
-36 + 4z + -1(-1 + -7z) = 10z
-36 + 4z + (-1 * -1 + -7z * -1) = 10z
-36 + 4z + (1 + 7z) = 10z

Reorder the terms:
-36 + 1 + 4z + 7z = 10z

Combine like terms: -36 + 1 = -35
-35 + 4z + 7z = 10z

Combine like terms: 4z + 7z = 11z
-35 + 11z = 10z

Solving
-35 + 11z = 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.
-35 + 11z + -10z = 10z + -10z

Combine like terms: 11z + -10z = 1z
-35 + 1z = 10z + -10z

Combine like terms: 10z + -10z = 0
-35 + 1z = 0

Add '35' to each side of the equation.
-35 + 35 + 1z = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 1z = 0 + 35
1z = 0 + 35

Combine like terms: 0 + 35 = 35
1z = 35

Divide each side by '1'.
z = 35

Simplifying
z = 35