6(2z-1)-3(z+7)=4(2+1)

Solution for 6(2z-1)-3(z+7)=4(2+1) equation:

Simplifying
6(2z + -1) + -3(z + 7) = 4(2 + 1)

Reorder the terms:
6(-1 + 2z) + -3(z + 7) = 4(2 + 1)
(-1 * 6 + 2z * 6) + -3(z + 7) = 4(2 + 1)
(-6 + 12z) + -3(z + 7) = 4(2 + 1)

Reorder the terms:
-6 + 12z + -3(7 + z) = 4(2 + 1)
-6 + 12z + (7 * -3 + z * -3) = 4(2 + 1)
-6 + 12z + (-21 + -3z) = 4(2 + 1)

Reorder the terms:
-6 + -21 + 12z + -3z = 4(2 + 1)

Combine like terms: -6 + -21 = -27
-27 + 12z + -3z = 4(2 + 1)

Combine like terms: 12z + -3z = 9z
-27 + 9z = 4(2 + 1)

Combine like terms: 2 + 1 = 3
-27 + 9z = 4(3)

Multiply 4 * 3
-27 + 9z = 12

Solving
-27 + 9z = 12

Solving for variable 'z'.

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

Add '27' to each side of the equation.
-27 + 27 + 9z = 12 + 27

Combine like terms: -27 + 27 = 0
0 + 9z = 12 + 27
9z = 12 + 27

Combine like terms: 12 + 27 = 39
9z = 39

Divide each side by '9'.
z = 4.333333333

Simplifying
z = 4.333333333