3(6z-1)-2(z+4)=3(z+1)

Solution for 3(6z-1)-2(z+4)=3(z+1) equation:

Simplifying
3(6z + -1) + -2(z + 4) = 3(z + 1)

Reorder the terms:
3(-1 + 6z) + -2(z + 4) = 3(z + 1)
(-1 * 3 + 6z * 3) + -2(z + 4) = 3(z + 1)
(-3 + 18z) + -2(z + 4) = 3(z + 1)

Reorder the terms:
-3 + 18z + -2(4 + z) = 3(z + 1)
-3 + 18z + (4 * -2 + z * -2) = 3(z + 1)
-3 + 18z + (-8 + -2z) = 3(z + 1)

Reorder the terms:
-3 + -8 + 18z + -2z = 3(z + 1)

Combine like terms: -3 + -8 = -11
-11 + 18z + -2z = 3(z + 1)

Combine like terms: 18z + -2z = 16z
-11 + 16z = 3(z + 1)

Reorder the terms:
-11 + 16z = 3(1 + z)
-11 + 16z = (1 * 3 + z * 3)
-11 + 16z = (3 + 3z)

Solving
-11 + 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.
-11 + 16z + -3z = 3 + 3z + -3z

Combine like terms: 16z + -3z = 13z
-11 + 13z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-11 + 13z = 3 + 0
-11 + 13z = 3

Add '11' to each side of the equation.
-11 + 11 + 13z = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 13z = 3 + 11
13z = 3 + 11

Combine like terms: 3 + 11 = 14
13z = 14

Divide each side by '13'.
z = 1.076923077

Simplifying
z = 1.076923077