4(3z-1)-2(z+6)=3(z+1)

Solution for 4(3z-1)-2(z+6)=3(z+1) equation:

Simplifying
4(3z + -1) + -2(z + 6) = 3(z + 1)

Reorder the terms:
4(-1 + 3z) + -2(z + 6) = 3(z + 1)
(-1 * 4 + 3z * 4) + -2(z + 6) = 3(z + 1)
(-4 + 12z) + -2(z + 6) = 3(z + 1)

Reorder the terms:
-4 + 12z + -2(6 + z) = 3(z + 1)
-4 + 12z + (6 * -2 + z * -2) = 3(z + 1)
-4 + 12z + (-12 + -2z) = 3(z + 1)

Reorder the terms:
-4 + -12 + 12z + -2z = 3(z + 1)

Combine like terms: -4 + -12 = -16
-16 + 12z + -2z = 3(z + 1)

Combine like terms: 12z + -2z = 10z
-16 + 10z = 3(z + 1)

Reorder the terms:
-16 + 10z = 3(1 + z)
-16 + 10z = (1 * 3 + z * 3)
-16 + 10z = (3 + 3z)

Solving
-16 + 10z = 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.
-16 + 10z + -3z = 3 + 3z + -3z

Combine like terms: 10z + -3z = 7z
-16 + 7z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-16 + 7z = 3 + 0
-16 + 7z = 3

Add '16' to each side of the equation.
-16 + 16 + 7z = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 7z = 3 + 16
7z = 3 + 16

Combine like terms: 3 + 16 = 19
7z = 19

Divide each side by '7'.
z = 2.714285714

Simplifying
z = 2.714285714