3(6z-1)-2(z+9)=10(z+1)

Solution for 3(6z-1)-2(z+9)=10(z+1) equation:

Simplifying
3(6z + -1) + -2(z + 9) = 10(z + 1)

Reorder the terms:
3(-1 + 6z) + -2(z + 9) = 10(z + 1)
(-1 * 3 + 6z * 3) + -2(z + 9) = 10(z + 1)
(-3 + 18z) + -2(z + 9) = 10(z + 1)

Reorder the terms:
-3 + 18z + -2(9 + z) = 10(z + 1)
-3 + 18z + (9 * -2 + z * -2) = 10(z + 1)
-3 + 18z + (-18 + -2z) = 10(z + 1)

Reorder the terms:
-3 + -18 + 18z + -2z = 10(z + 1)

Combine like terms: -3 + -18 = -21
-21 + 18z + -2z = 10(z + 1)

Combine like terms: 18z + -2z = 16z
-21 + 16z = 10(z + 1)

Reorder the terms:
-21 + 16z = 10(1 + z)
-21 + 16z = (1 * 10 + z * 10)
-21 + 16z = (10 + 10z)

Solving
-21 + 16z = 10 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-21 + 16z + -10z = 10 + 10z + -10z

Combine like terms: 16z + -10z = 6z
-21 + 6z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-21 + 6z = 10 + 0
-21 + 6z = 10

Add '21' to each side of the equation.
-21 + 21 + 6z = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 6z = 10 + 21
6z = 10 + 21

Combine like terms: 10 + 21 = 31
6z = 31

Divide each side by '6'.
z = 5.166666667

Simplifying
z = 5.166666667