6(5z-1)-5(z+1)=6(z+1)

Solution for 6(5z-1)-5(z+1)=6(z+1) equation:

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

Reorder the terms:
6(-1 + 5z) + -5(z + 1) = 6(z + 1)
(-1 * 6 + 5z * 6) + -5(z + 1) = 6(z + 1)
(-6 + 30z) + -5(z + 1) = 6(z + 1)

Reorder the terms:
-6 + 30z + -5(1 + z) = 6(z + 1)
-6 + 30z + (1 * -5 + z * -5) = 6(z + 1)
-6 + 30z + (-5 + -5z) = 6(z + 1)

Reorder the terms:
-6 + -5 + 30z + -5z = 6(z + 1)

Combine like terms: -6 + -5 = -11
-11 + 30z + -5z = 6(z + 1)

Combine like terms: 30z + -5z = 25z
-11 + 25z = 6(z + 1)

Reorder the terms:
-11 + 25z = 6(1 + z)
-11 + 25z = (1 * 6 + z * 6)
-11 + 25z = (6 + 6z)

Solving
-11 + 25z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-11 + 25z + -6z = 6 + 6z + -6z

Combine like terms: 25z + -6z = 19z
-11 + 19z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-11 + 19z = 6 + 0
-11 + 19z = 6

Add '11' to each side of the equation.
-11 + 11 + 19z = 6 + 11

Combine like terms: -11 + 11 = 0
0 + 19z = 6 + 11
19z = 6 + 11

Combine like terms: 6 + 11 = 17
19z = 17

Divide each side by '19'.
z = 0.8947368421

Simplifying
z = 0.8947368421