3z+3+2(8z-20)=90

Solution for 3z+3+2(8z-20)=90 equation:

Simplifying
3z + 3 + 2(8z + -20) = 90

Reorder the terms:
3z + 3 + 2(-20 + 8z) = 90
3z + 3 + (-20 * 2 + 8z * 2) = 90
3z + 3 + (-40 + 16z) = 90

Reorder the terms:
3 + -40 + 3z + 16z = 90

Combine like terms: 3 + -40 = -37
-37 + 3z + 16z = 90

Combine like terms: 3z + 16z = 19z
-37 + 19z = 90

Solving
-37 + 19z = 90

Solving for variable 'z'.

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

Add '37' to each side of the equation.
-37 + 37 + 19z = 90 + 37

Combine like terms: -37 + 37 = 0
0 + 19z = 90 + 37
19z = 90 + 37

Combine like terms: 90 + 37 = 127
19z = 127

Divide each side by '19'.
z = 6.684210526

Simplifying
z = 6.684210526