4(5z-1)-4(z+3)=3(z+1)

Solution for 4(5z-1)-4(z+3)=3(z+1) equation:

Simplifying
4(5z + -1) + -4(z + 3) = 3(z + 1)

Reorder the terms:
4(-1 + 5z) + -4(z + 3) = 3(z + 1)
(-1 * 4 + 5z * 4) + -4(z + 3) = 3(z + 1)
(-4 + 20z) + -4(z + 3) = 3(z + 1)

Reorder the terms:
-4 + 20z + -4(3 + z) = 3(z + 1)
-4 + 20z + (3 * -4 + z * -4) = 3(z + 1)
-4 + 20z + (-12 + -4z) = 3(z + 1)

Reorder the terms:
-4 + -12 + 20z + -4z = 3(z + 1)

Combine like terms: -4 + -12 = -16
-16 + 20z + -4z = 3(z + 1)

Combine like terms: 20z + -4z = 16z
-16 + 16z = 3(z + 1)

Reorder the terms:
-16 + 16z = 3(1 + z)
-16 + 16z = (1 * 3 + z * 3)
-16 + 16z = (3 + 3z)

Solving
-16 + 16z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-16 + 16z + -3z = 3 + 3z + -3z

Combine like terms: 16z + -3z = 13z
-16 + 13z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-16 + 13z = 3 + 0
-16 + 13z = 3

Add '16' to each side of the equation.
-16 + 16 + 13z = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 13z = 3 + 16
13z = 3 + 16

Combine like terms: 3 + 16 = 19
13z = 19

Divide each side by '13'.
z = 1.461538462

Simplifying
z = 1.461538462