4(3z-1)+3(5z+1)=56

Solution for 4(3z-1)+3(5z+1)=56 equation:

Simplifying
4(3z + -1) + 3(5z + 1) = 56

Reorder the terms:
4(-1 + 3z) + 3(5z + 1) = 56
(-1 * 4 + 3z * 4) + 3(5z + 1) = 56
(-4 + 12z) + 3(5z + 1) = 56

Reorder the terms:
-4 + 12z + 3(1 + 5z) = 56
-4 + 12z + (1 * 3 + 5z * 3) = 56
-4 + 12z + (3 + 15z) = 56

Reorder the terms:
-4 + 3 + 12z + 15z = 56

Combine like terms: -4 + 3 = -1
-1 + 12z + 15z = 56

Combine like terms: 12z + 15z = 27z
-1 + 27z = 56

Solving
-1 + 27z = 56

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 27z = 56 + 1

Combine like terms: -1 + 1 = 0
0 + 27z = 56 + 1
27z = 56 + 1

Combine like terms: 56 + 1 = 57
27z = 57

Divide each side by '27'.
z = 2.111111111

Simplifying
z = 2.111111111