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

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

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

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

Reorder the terms:
-3 + 18z + -2(6 + z) = 6z + 1
-3 + 18z + (6 * -2 + z * -2) = 6z + 1
-3 + 18z + (-12 + -2z) = 6z + 1

Reorder the terms:
-3 + -12 + 18z + -2z = 6z + 1

Combine like terms: -3 + -12 = -15
-15 + 18z + -2z = 6z + 1

Combine like terms: 18z + -2z = 16z
-15 + 16z = 6z + 1

Reorder the terms:
-15 + 16z = 1 + 6z

Solving
-15 + 16z = 1 + 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.
-15 + 16z + -6z = 1 + 6z + -6z

Combine like terms: 16z + -6z = 10z
-15 + 10z = 1 + 6z + -6z

Combine like terms: 6z + -6z = 0
-15 + 10z = 1 + 0
-15 + 10z = 1

Add '15' to each side of the equation.
-15 + 15 + 10z = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 10z = 1 + 15
10z = 1 + 15

Combine like terms: 1 + 15 = 16
10z = 16

Divide each side by '10'.
z = 1.6

Simplifying
z = 1.6