(2+7z)+(8z-6)-(4+9z)=

Solution for (2+7z)+(8z-6)-(4+9z)= equation:

Simplifying
(2 + 7z) + (8z + -6) + -1(4 + 9z) = 0

Remove parenthesis around (2 + 7z)
2 + 7z + (8z + -6) + -1(4 + 9z) = 0

Reorder the terms:
2 + 7z + (-6 + 8z) + -1(4 + 9z) = 0

Remove parenthesis around (-6 + 8z)
2 + 7z + -6 + 8z + -1(4 + 9z) = 0
2 + 7z + -6 + 8z + (4 * -1 + 9z * -1) = 0
2 + 7z + -6 + 8z + (-4 + -9z) = 0

Reorder the terms:
2 + -6 + -4 + 7z + 8z + -9z = 0

Combine like terms: 2 + -6 = -4
-4 + -4 + 7z + 8z + -9z = 0

Combine like terms: -4 + -4 = -8
-8 + 7z + 8z + -9z = 0

Combine like terms: 7z + 8z = 15z
-8 + 15z + -9z = 0

Combine like terms: 15z + -9z = 6z
-8 + 6z = 0

Solving
-8 + 6z = 0

Solving for variable 'z'.

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

Add '8' to each side of the equation.
-8 + 8 + 6z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6z = 0 + 8
6z = 0 + 8

Combine like terms: 0 + 8 = 8
6z = 8

Divide each side by '6'.
z = 1.333333333

Simplifying
z = 1.333333333