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

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

Simplifying
6 + -5z = 9 + -1(6z + 7)

Reorder the terms:
6 + -5z = 9 + -1(7 + 6z)
6 + -5z = 9 + (7 * -1 + 6z * -1)
6 + -5z = 9 + (-7 + -6z)

Combine like terms: 9 + -7 = 2
6 + -5z = 2 + -6z

Solving
6 + -5z = 2 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
6 + -5z + 6z = 2 + -6z + 6z

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

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

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

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

Combine like terms: 2 + -6 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4