-3+(5z+9)=(7z+5)-6

Solution for -3+(5z+9)=(7z+5)-6 equation:

Simplifying
-3 + (5z + 9) = (7z + 5) + -6

Reorder the terms:
-3 + (9 + 5z) = (7z + 5) + -6

Remove parenthesis around (9 + 5z)
-3 + 9 + 5z = (7z + 5) + -6

Combine like terms: -3 + 9 = 6
6 + 5z = (7z + 5) + -6

Reorder the terms:
6 + 5z = (5 + 7z) + -6

Remove parenthesis around (5 + 7z)
6 + 5z = 5 + 7z + -6

Reorder the terms:
6 + 5z = 5 + -6 + 7z

Combine like terms: 5 + -6 = -1
6 + 5z = -1 + 7z

Solving
6 + 5z = -1 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
6 + 5z + -7z = -1 + 7z + -7z

Combine like terms: 5z + -7z = -2z
6 + -2z = -1 + 7z + -7z

Combine like terms: 7z + -7z = 0
6 + -2z = -1 + 0
6 + -2z = -1

Add '-6' to each side of the equation.
6 + -6 + -2z = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -1 + -6
-2z = -1 + -6

Combine like terms: -1 + -6 = -7
-2z = -7

Divide each side by '-2'.
z = 3.5

Simplifying
z = 3.5