3(4z-1)-5(z+9)=3(z+1)

Solution for 3(4z-1)-5(z+9)=3(z+1) equation:

Simplifying
3(4z + -1) + -5(z + 9) = 3(z + 1)

Reorder the terms:
3(-1 + 4z) + -5(z + 9) = 3(z + 1)
(-1 * 3 + 4z * 3) + -5(z + 9) = 3(z + 1)
(-3 + 12z) + -5(z + 9) = 3(z + 1)

Reorder the terms:
-3 + 12z + -5(9 + z) = 3(z + 1)
-3 + 12z + (9 * -5 + z * -5) = 3(z + 1)
-3 + 12z + (-45 + -5z) = 3(z + 1)

Reorder the terms:
-3 + -45 + 12z + -5z = 3(z + 1)

Combine like terms: -3 + -45 = -48
-48 + 12z + -5z = 3(z + 1)

Combine like terms: 12z + -5z = 7z
-48 + 7z = 3(z + 1)

Reorder the terms:
-48 + 7z = 3(1 + z)
-48 + 7z = (1 * 3 + z * 3)
-48 + 7z = (3 + 3z)

Solving
-48 + 7z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-48 + 7z + -3z = 3 + 3z + -3z

Combine like terms: 7z + -3z = 4z
-48 + 4z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-48 + 4z = 3 + 0
-48 + 4z = 3

Add '48' to each side of the equation.
-48 + 48 + 4z = 3 + 48

Combine like terms: -48 + 48 = 0
0 + 4z = 3 + 48
4z = 3 + 48

Combine like terms: 3 + 48 = 51
4z = 51

Divide each side by '4'.
z = 12.75

Simplifying
z = 12.75