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

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

Simplifying
6(7 + -2z) = 3(5z + 1)
(7 * 6 + -2z * 6) = 3(5z + 1)
(42 + -12z) = 3(5z + 1)

Reorder the terms:
42 + -12z = 3(1 + 5z)
42 + -12z = (1 * 3 + 5z * 3)
42 + -12z = (3 + 15z)

Solving
42 + -12z = 3 + 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.
42 + -12z + -15z = 3 + 15z + -15z

Combine like terms: -12z + -15z = -27z
42 + -27z = 3 + 15z + -15z

Combine like terms: 15z + -15z = 0
42 + -27z = 3 + 0
42 + -27z = 3

Add '-42' to each side of the equation.
42 + -42 + -27z = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -27z = 3 + -42
-27z = 3 + -42

Combine like terms: 3 + -42 = -39
-27z = -39

Divide each side by '-27'.
z = 1.444444444

Simplifying
z = 1.444444444