6(3z-1)-3(z+5)=4(z+1)

Solution for 6(3z-1)-3(z+5)=4(z+1) equation:

Simplifying
6(3z + -1) + -3(z + 5) = 4(z + 1)

Reorder the terms:
6(-1 + 3z) + -3(z + 5) = 4(z + 1)
(-1 * 6 + 3z * 6) + -3(z + 5) = 4(z + 1)
(-6 + 18z) + -3(z + 5) = 4(z + 1)

Reorder the terms:
-6 + 18z + -3(5 + z) = 4(z + 1)
-6 + 18z + (5 * -3 + z * -3) = 4(z + 1)
-6 + 18z + (-15 + -3z) = 4(z + 1)

Reorder the terms:
-6 + -15 + 18z + -3z = 4(z + 1)

Combine like terms: -6 + -15 = -21
-21 + 18z + -3z = 4(z + 1)

Combine like terms: 18z + -3z = 15z
-21 + 15z = 4(z + 1)

Reorder the terms:
-21 + 15z = 4(1 + z)
-21 + 15z = (1 * 4 + z * 4)
-21 + 15z = (4 + 4z)

Solving
-21 + 15z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-21 + 15z + -4z = 4 + 4z + -4z

Combine like terms: 15z + -4z = 11z
-21 + 11z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-21 + 11z = 4 + 0
-21 + 11z = 4

Add '21' to each side of the equation.
-21 + 21 + 11z = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 11z = 4 + 21
11z = 4 + 21

Combine like terms: 4 + 21 = 25
11z = 25

Divide each side by '11'.
z = 2.272727273

Simplifying
z = 2.272727273