9+6(5z-7)=2(8z+1)+3

Solution for 9+6(5z-7)=2(8z+1)+3 equation:

Simplifying
9 + 6(5z + -7) = 2(8z + 1) + 3

Reorder the terms:
9 + 6(-7 + 5z) = 2(8z + 1) + 3
9 + (-7 * 6 + 5z * 6) = 2(8z + 1) + 3
9 + (-42 + 30z) = 2(8z + 1) + 3

Combine like terms: 9 + -42 = -33
-33 + 30z = 2(8z + 1) + 3

Reorder the terms:
-33 + 30z = 2(1 + 8z) + 3
-33 + 30z = (1 * 2 + 8z * 2) + 3
-33 + 30z = (2 + 16z) + 3

Reorder the terms:
-33 + 30z = 2 + 3 + 16z

Combine like terms: 2 + 3 = 5
-33 + 30z = 5 + 16z

Solving
-33 + 30z = 5 + 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
-33 + 30z + -16z = 5 + 16z + -16z

Combine like terms: 30z + -16z = 14z
-33 + 14z = 5 + 16z + -16z

Combine like terms: 16z + -16z = 0
-33 + 14z = 5 + 0
-33 + 14z = 5

Add '33' to each side of the equation.
-33 + 33 + 14z = 5 + 33

Combine like terms: -33 + 33 = 0
0 + 14z = 5 + 33
14z = 5 + 33

Combine like terms: 5 + 33 = 38
14z = 38

Divide each side by '14'.
z = 2.714285714

Simplifying
z = 2.714285714