7z-4+6(2z-9)=0

Solution for 7z-4+6(2z-9)=0 equation:

Simplifying
7z + -4 + 6(2z + -9) = 0

Reorder the terms:
7z + -4 + 6(-9 + 2z) = 0
7z + -4 + (-9 * 6 + 2z * 6) = 0
7z + -4 + (-54 + 12z) = 0

Reorder the terms:
-4 + -54 + 7z + 12z = 0

Combine like terms: -4 + -54 = -58
-58 + 7z + 12z = 0

Combine like terms: 7z + 12z = 19z
-58 + 19z = 0

Solving
-58 + 19z = 0

Solving for variable 'z'.

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

Add '58' to each side of the equation.
-58 + 58 + 19z = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 19z = 0 + 58
19z = 0 + 58

Combine like terms: 0 + 58 = 58
19z = 58

Divide each side by '19'.
z = 3.052631579

Simplifying
z = 3.052631579