6(z-8)=3+7z

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

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

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

Solving
-48 + 6z = 3 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-48 + 6z + -7z = 3 + 7z + -7z

Combine like terms: 6z + -7z = -1z
-48 + -1z = 3 + 7z + -7z

Combine like terms: 7z + -7z = 0
-48 + -1z = 3 + 0
-48 + -1z = 3

Add '48' to each side of the equation.
-48 + 48 + -1z = 3 + 48

Combine like terms: -48 + 48 = 0
0 + -1z = 3 + 48
-1z = 3 + 48

Combine like terms: 3 + 48 = 51
-1z = 51

Divide each side by '-1'.
z = -51

Simplifying
z = -51