2(z-3)+5z-9z=-14

Solution for 2(z-3)+5z-9z=-14 equation:

Simplifying
2(z + -3) + 5z + -9z = -14

Reorder the terms:
2(-3 + z) + 5z + -9z = -14
(-3 * 2 + z * 2) + 5z + -9z = -14
(-6 + 2z) + 5z + -9z = -14

Combine like terms: 2z + 5z = 7z
-6 + 7z + -9z = -14

Combine like terms: 7z + -9z = -2z
-6 + -2z = -14

Solving
-6 + -2z = -14

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + -2z = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -2z = -14 + 6
-2z = -14 + 6

Combine like terms: -14 + 6 = -8
-2z = -8

Divide each side by '-2'.
z = 4

Simplifying
z = 4