8-9(-z+5)=5(3z+1)+1

Solution for 8-9(-z+5)=5(3z+1)+1 equation:

Simplifying
8 + -9(-1z + 5) = 5(3z + 1) + 1

Reorder the terms:
8 + -9(5 + -1z) = 5(3z + 1) + 1
8 + (5 * -9 + -1z * -9) = 5(3z + 1) + 1
8 + (-45 + 9z) = 5(3z + 1) + 1

Combine like terms: 8 + -45 = -37
-37 + 9z = 5(3z + 1) + 1

Reorder the terms:
-37 + 9z = 5(1 + 3z) + 1
-37 + 9z = (1 * 5 + 3z * 5) + 1
-37 + 9z = (5 + 15z) + 1

Reorder the terms:
-37 + 9z = 5 + 1 + 15z

Combine like terms: 5 + 1 = 6
-37 + 9z = 6 + 15z

Solving
-37 + 9z = 6 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-37 + 9z + -15z = 6 + 15z + -15z

Combine like terms: 9z + -15z = -6z
-37 + -6z = 6 + 15z + -15z

Combine like terms: 15z + -15z = 0
-37 + -6z = 6 + 0
-37 + -6z = 6

Add '37' to each side of the equation.
-37 + 37 + -6z = 6 + 37

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

Combine like terms: 6 + 37 = 43
-6z = 43

Divide each side by '-6'.
z = -7.166666667

Simplifying
z = -7.166666667