2z+3(4(2-z)-6(1+9))=5

Solution for 2z+3(4(2-z)-6(1+9))=5 equation:

Simplifying
2z + 3(4(2 + -1z) + -6(1 + 9)) = 5
2z + 3((2 * 4 + -1z * 4) + -6(1 + 9)) = 5
2z + 3((8 + -4z) + -6(1 + 9)) = 5

Combine like terms: 1 + 9 = 10
2z + 3(8 + -4z + -6(10)) = 5

Multiply -6 * 10
2z + 3(8 + -4z + -60) = 5

Reorder the terms:
2z + 3(8 + -60 + -4z) = 5

Combine like terms: 8 + -60 = -52
2z + 3(-52 + -4z) = 5
2z + (-52 * 3 + -4z * 3) = 5
2z + (-156 + -12z) = 5

Reorder the terms:
-156 + 2z + -12z = 5

Combine like terms: 2z + -12z = -10z
-156 + -10z = 5

Solving
-156 + -10z = 5

Solving for variable 'z'.

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

Add '156' to each side of the equation.
-156 + 156 + -10z = 5 + 156

Combine like terms: -156 + 156 = 0
0 + -10z = 5 + 156
-10z = 5 + 156

Combine like terms: 5 + 156 = 161
-10z = 161

Divide each side by '-10'.
z = -16.1

Simplifying
z = -16.1