4(5z-1)-5(z+6)=2(z+1)

Solution for 4(5z-1)-5(z+6)=2(z+1) equation:

Simplifying
4(5z + -1) + -5(z + 6) = 2(z + 1)

Reorder the terms:
4(-1 + 5z) + -5(z + 6) = 2(z + 1)
(-1 * 4 + 5z * 4) + -5(z + 6) = 2(z + 1)
(-4 + 20z) + -5(z + 6) = 2(z + 1)

Reorder the terms:
-4 + 20z + -5(6 + z) = 2(z + 1)
-4 + 20z + (6 * -5 + z * -5) = 2(z + 1)
-4 + 20z + (-30 + -5z) = 2(z + 1)

Reorder the terms:
-4 + -30 + 20z + -5z = 2(z + 1)

Combine like terms: -4 + -30 = -34
-34 + 20z + -5z = 2(z + 1)

Combine like terms: 20z + -5z = 15z
-34 + 15z = 2(z + 1)

Reorder the terms:
-34 + 15z = 2(1 + z)
-34 + 15z = (1 * 2 + z * 2)
-34 + 15z = (2 + 2z)

Solving
-34 + 15z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-34 + 15z + -2z = 2 + 2z + -2z

Combine like terms: 15z + -2z = 13z
-34 + 13z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-34 + 13z = 2 + 0
-34 + 13z = 2

Add '34' to each side of the equation.
-34 + 34 + 13z = 2 + 34

Combine like terms: -34 + 34 = 0
0 + 13z = 2 + 34
13z = 2 + 34

Combine like terms: 2 + 34 = 36
13z = 36

Divide each side by '13'.
z = 2.769230769

Simplifying
z = 2.769230769