8(z+5)-3(2z+1)=6

Solution for 8(z+5)-3(2z+1)=6 equation:

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

Reorder the terms:
8(5 + z) + -3(2z + 1) = 6
(5 * 8 + z * 8) + -3(2z + 1) = 6
(40 + 8z) + -3(2z + 1) = 6

Reorder the terms:
40 + 8z + -3(1 + 2z) = 6
40 + 8z + (1 * -3 + 2z * -3) = 6
40 + 8z + (-3 + -6z) = 6

Reorder the terms:
40 + -3 + 8z + -6z = 6

Combine like terms: 40 + -3 = 37
37 + 8z + -6z = 6

Combine like terms: 8z + -6z = 2z
37 + 2z = 6

Solving
37 + 2z = 6

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 + 2z = 6 + -37

Combine like terms: 37 + -37 = 0
0 + 2z = 6 + -37
2z = 6 + -37

Combine like terms: 6 + -37 = -31
2z = -31

Divide each side by '2'.
z = -15.5

Simplifying
z = -15.5