6(z-7)-(5+4z)=z

Solution for 6(z-7)-(5+4z)=z equation:

Simplifying
6(z + -7) + -1(5 + 4z) = z

Reorder the terms:
6(-7 + z) + -1(5 + 4z) = z
(-7 * 6 + z * 6) + -1(5 + 4z) = z
(-42 + 6z) + -1(5 + 4z) = z
-42 + 6z + (5 * -1 + 4z * -1) = z
-42 + 6z + (-5 + -4z) = z

Reorder the terms:
-42 + -5 + 6z + -4z = z

Combine like terms: -42 + -5 = -47
-47 + 6z + -4z = z

Combine like terms: 6z + -4z = 2z
-47 + 2z = z

Solving
-47 + 2z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-47 + 2z + -1z = z + -1z

Combine like terms: 2z + -1z = 1z
-47 + 1z = z + -1z

Combine like terms: z + -1z = 0
-47 + 1z = 0

Add '47' to each side of the equation.
-47 + 47 + 1z = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 1z = 0 + 47
1z = 0 + 47

Combine like terms: 0 + 47 = 47
1z = 47

Divide each side by '1'.
z = 47

Simplifying
z = 47