4(z+8)=7z

Solution for 4(z+8)=7z equation:

Simplifying
4(z + 8) = 7z

Reorder the terms:
4(8 + z) = 7z
(8 * 4 + z * 4) = 7z
(32 + 4z) = 7z

Solving
32 + 4z = 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.
32 + 4z + -7z = 7z + -7z

Combine like terms: 4z + -7z = -3z
32 + -3z = 7z + -7z

Combine like terms: 7z + -7z = 0
32 + -3z = 0

Add '-32' to each side of the equation.
32 + -32 + -3z = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -3z = 0 + -32
-3z = 0 + -32

Combine like terms: 0 + -32 = -32
-3z = -32

Divide each side by '-3'.
z = 10.66666667

Simplifying
z = 10.66666667