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

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


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

Reorder the terms:
6(-4 + 6z) + -1[2(5z + -3) + 4] = 0
(-4 * 6 + 6z * 6) + -1[2(5z + -3) + 4] = 0
(-24 + 36z) + -1[2(5z + -3) + 4] = 0

Reorder the terms:
-24 + 36z + -1[2(-3 + 5z) + 4] = 0
-24 + 36z + -1[(-3 * 2 + 5z * 2) + 4] = 0
-24 + 36z + -1[(-6 + 10z) + 4] = 0

Reorder the terms:
-24 + 36z + -1[-6 + 4 + 10z] = 0

Combine like terms: -6 + 4 = -2
-24 + 36z + -1[-2 + 10z] = 0
-24 + 36z + [-2 * -1 + 10z * -1] = 0
-24 + 36z + [2 + -10z] = 0

Reorder the terms:
-24 + 2 + 36z + -10z = 0

Combine like terms: -24 + 2 = -22
-22 + 36z + -10z = 0

Combine like terms: 36z + -10z = 26z
-22 + 26z = 0

Solving
-22 + 26z = 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 + 26z = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 26z = 0 + 22
26z = 0 + 22

Combine like terms: 0 + 22 = 22
26z = 22

Divide each side by '26'.
z = 0.8461538462

Simplifying
z = 0.8461538462

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