6(9z-4)-[3(5z-2)+4]=

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Solution for 6(9z-4)-[3(5z-2)+4]= equation:


Simplifying
6(9z + -4) + -1[3(5z + -2) + 4] = 0

Reorder the terms:
6(-4 + 9z) + -1[3(5z + -2) + 4] = 0
(-4 * 6 + 9z * 6) + -1[3(5z + -2) + 4] = 0
(-24 + 54z) + -1[3(5z + -2) + 4] = 0

Reorder the terms:
-24 + 54z + -1[3(-2 + 5z) + 4] = 0
-24 + 54z + -1[(-2 * 3 + 5z * 3) + 4] = 0
-24 + 54z + -1[(-6 + 15z) + 4] = 0

Reorder the terms:
-24 + 54z + -1[-6 + 4 + 15z] = 0

Combine like terms: -6 + 4 = -2
-24 + 54z + -1[-2 + 15z] = 0
-24 + 54z + [-2 * -1 + 15z * -1] = 0
-24 + 54z + [2 + -15z] = 0

Reorder the terms:
-24 + 2 + 54z + -15z = 0

Combine like terms: -24 + 2 = -22
-22 + 54z + -15z = 0

Combine like terms: 54z + -15z = 39z
-22 + 39z = 0

Solving
-22 + 39z = 0

Solving for variable 'z'.

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

Add '22' to each side of the equation.
-22 + 22 + 39z = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 39z = 0 + 22
39z = 0 + 22

Combine like terms: 0 + 22 = 22
39z = 22

Divide each side by '39'.
z = 0.5641025641

Simplifying
z = 0.5641025641

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