9(z+6)-(-8z-9)=16z

Solution for 9(z+6)-(-8z-9)=16z equation:

Simplifying
9(z + 6) + -1(-8z + -9) = 16z

Reorder the terms:
9(6 + z) + -1(-8z + -9) = 16z
(6 * 9 + z * 9) + -1(-8z + -9) = 16z
(54 + 9z) + -1(-8z + -9) = 16z

Reorder the terms:
54 + 9z + -1(-9 + -8z) = 16z
54 + 9z + (-9 * -1 + -8z * -1) = 16z
54 + 9z + (9 + 8z) = 16z

Reorder the terms:
54 + 9 + 9z + 8z = 16z

Combine like terms: 54 + 9 = 63
63 + 9z + 8z = 16z

Combine like terms: 9z + 8z = 17z
63 + 17z = 16z

Solving
63 + 17z = 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
63 + 17z + -16z = 16z + -16z

Combine like terms: 17z + -16z = 1z
63 + 1z = 16z + -16z

Combine like terms: 16z + -16z = 0
63 + 1z = 0

Add '-63' to each side of the equation.
63 + -63 + 1z = 0 + -63

Combine like terms: 63 + -63 = 0
0 + 1z = 0 + -63
1z = 0 + -63

Combine like terms: 0 + -63 = -63
1z = -63

Divide each side by '1'.
z = -63

Simplifying
z = -63