3z+6-(4z+9+8u)=

Solution for 3z+6-(4z+9+8u)= equation:

Simplifying
3z + 6 + -1(4z + 9 + 8u) = 0

Reorder the terms:
3z + 6 + -1(9 + 8u + 4z) = 0
3z + 6 + (9 * -1 + 8u * -1 + 4z * -1) = 0
3z + 6 + (-9 + -8u + -4z) = 0

Reorder the terms:
6 + -9 + -8u + 3z + -4z = 0

Combine like terms: 6 + -9 = -3
-3 + -8u + 3z + -4z = 0

Combine like terms: 3z + -4z = -1z
-3 + -8u + -1z = 0

Solving
-3 + -8u + -1z = 0

Solving for variable 'u'.

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

Add '3' to each side of the equation.
-3 + -8u + 3 + -1z = 0 + 3

Reorder the terms:
-3 + 3 + -8u + -1z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8u + -1z = 0 + 3
-8u + -1z = 0 + 3

Combine like terms: 0 + 3 = 3
-8u + -1z = 3

Add 'z' to each side of the equation.
-8u + -1z + z = 3 + z

Combine like terms: -1z + z = 0
-8u + 0 = 3 + z
-8u = 3 + z

Divide each side by '-8'.
u = -0.375 + -0.125z

Simplifying
u = -0.375 + -0.125z