-2(-19+16)=3(16z+20)+18

Solution for -2(-19+16)=3(16z+20)+18 equation:

Simplifying
-2(-19 + 16) = 3(16z + 20) + 18

Combine like terms: -19 + 16 = -3
-2(-3) = 3(16z + 20) + 18

Multiply -2 * -3
6 = 3(16z + 20) + 18

Reorder the terms:
6 = 3(20 + 16z) + 18
6 = (20 * 3 + 16z * 3) + 18
6 = (60 + 48z) + 18

Reorder the terms:
6 = 60 + 18 + 48z

Combine like terms: 60 + 18 = 78
6 = 78 + 48z

Solving
6 = 78 + 48z

Solving for variable 'z'.

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

Add '-48z' to each side of the equation.
6 + -48z = 78 + 48z + -48z

Combine like terms: 48z + -48z = 0
6 + -48z = 78 + 0
6 + -48z = 78

Add '-6' to each side of the equation.
6 + -6 + -48z = 78 + -6

Combine like terms: 6 + -6 = 0
0 + -48z = 78 + -6
-48z = 78 + -6

Combine like terms: 78 + -6 = 72
-48z = 72

Divide each side by '-48'.
z = -1.5

Simplifying
z = -1.5