5Z-[6-9(9Z-7)]=

Solution for 5Z-[6-9(9Z-7)]= equation:

Simplifying
5Z + -1[6 + -9(9Z + -7)] = 0

Reorder the terms:
5Z + -1[6 + -9(-7 + 9Z)] = 0
5Z + -1[6 + (-7 * -9 + 9Z * -9)] = 0
5Z + -1[6 + (63 + -81Z)] = 0

Combine like terms: 6 + 63 = 69
5Z + -1[69 + -81Z] = 0
5Z + [69 * -1 + -81Z * -1] = 0
5Z + [-69 + 81Z] = 0

Reorder the terms:
-69 + 5Z + 81Z = 0

Combine like terms: 5Z + 81Z = 86Z
-69 + 86Z = 0

Solving
-69 + 86Z = 0

Solving for variable 'Z'.

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

Add '69' to each side of the equation.
-69 + 69 + 86Z = 0 + 69

Combine like terms: -69 + 69 = 0
0 + 86Z = 0 + 69
86Z = 0 + 69

Combine like terms: 0 + 69 = 69
86Z = 69

Divide each side by '86'.
Z = 0.8023255814

Simplifying
Z = 0.8023255814