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

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

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

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

Combine like terms: 2 + 6 = 8
-6 + 12z + -4(8) = 3(z + 1)

Multiply -4 * 8
-6 + 12z + -32 = 3(z + 1)

Reorder the terms:
-6 + -32 + 12z = 3(z + 1)

Combine like terms: -6 + -32 = -38
-38 + 12z = 3(z + 1)

Reorder the terms:
-38 + 12z = 3(1 + z)
-38 + 12z = (1 * 3 + z * 3)
-38 + 12z = (3 + 3z)

Solving
-38 + 12z = 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.
-38 + 12z + -3z = 3 + 3z + -3z

Combine like terms: 12z + -3z = 9z
-38 + 9z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-38 + 9z = 3 + 0
-38 + 9z = 3

Add '38' to each side of the equation.
-38 + 38 + 9z = 3 + 38

Combine like terms: -38 + 38 = 0
0 + 9z = 3 + 38
9z = 3 + 38

Combine like terms: 3 + 38 = 41
9z = 41

Divide each side by '9'.
z = 4.555555556

Simplifying
z = 4.555555556