6+6(-8z+4)=2(-2z-7)+3

Solution for 6+6(-8z+4)=2(-2z-7)+3 equation:

Simplifying
6 + 6(-8z + 4) = 2(-2z + -7) + 3

Reorder the terms:
6 + 6(4 + -8z) = 2(-2z + -7) + 3
6 + (4 * 6 + -8z * 6) = 2(-2z + -7) + 3
6 + (24 + -48z) = 2(-2z + -7) + 3

Combine like terms: 6 + 24 = 30
30 + -48z = 2(-2z + -7) + 3

Reorder the terms:
30 + -48z = 2(-7 + -2z) + 3
30 + -48z = (-7 * 2 + -2z * 2) + 3
30 + -48z = (-14 + -4z) + 3

Reorder the terms:
30 + -48z = -14 + 3 + -4z

Combine like terms: -14 + 3 = -11
30 + -48z = -11 + -4z

Solving
30 + -48z = -11 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
30 + -48z + 4z = -11 + -4z + 4z

Combine like terms: -48z + 4z = -44z
30 + -44z = -11 + -4z + 4z

Combine like terms: -4z + 4z = 0
30 + -44z = -11 + 0
30 + -44z = -11

Add '-30' to each side of the equation.
30 + -30 + -44z = -11 + -30

Combine like terms: 30 + -30 = 0
0 + -44z = -11 + -30
-44z = -11 + -30

Combine like terms: -11 + -30 = -41
-44z = -41

Divide each side by '-44'.
z = 0.9318181818

Simplifying
z = 0.9318181818