4(8z-5)-[2(3z-3)+1]=

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Solution for 4(8z-5)-[2(3z-3)+1]= equation:


Simplifying
4(8z + -5) + -1[2(3z + -3) + 1] = 0

Reorder the terms:
4(-5 + 8z) + -1[2(3z + -3) + 1] = 0
(-5 * 4 + 8z * 4) + -1[2(3z + -3) + 1] = 0
(-20 + 32z) + -1[2(3z + -3) + 1] = 0

Reorder the terms:
-20 + 32z + -1[2(-3 + 3z) + 1] = 0
-20 + 32z + -1[(-3 * 2 + 3z * 2) + 1] = 0
-20 + 32z + -1[(-6 + 6z) + 1] = 0

Reorder the terms:
-20 + 32z + -1[-6 + 1 + 6z] = 0

Combine like terms: -6 + 1 = -5
-20 + 32z + -1[-5 + 6z] = 0
-20 + 32z + [-5 * -1 + 6z * -1] = 0
-20 + 32z + [5 + -6z] = 0

Reorder the terms:
-20 + 5 + 32z + -6z = 0

Combine like terms: -20 + 5 = -15
-15 + 32z + -6z = 0

Combine like terms: 32z + -6z = 26z
-15 + 26z = 0

Solving
-15 + 26z = 0

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + 26z = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 26z = 0 + 15
26z = 0 + 15

Combine like terms: 0 + 15 = 15
26z = 15

Divide each side by '26'.
z = 0.5769230769

Simplifying
z = 0.5769230769

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