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

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

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

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

Reorder the terms:
-6 + 18z + -3(9 + z) = 10(z + 1)
-6 + 18z + (9 * -3 + z * -3) = 10(z + 1)
-6 + 18z + (-27 + -3z) = 10(z + 1)

Reorder the terms:
-6 + -27 + 18z + -3z = 10(z + 1)

Combine like terms: -6 + -27 = -33
-33 + 18z + -3z = 10(z + 1)

Combine like terms: 18z + -3z = 15z
-33 + 15z = 10(z + 1)

Reorder the terms:
-33 + 15z = 10(1 + z)
-33 + 15z = (1 * 10 + z * 10)
-33 + 15z = (10 + 10z)

Solving
-33 + 15z = 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.
-33 + 15z + -10z = 10 + 10z + -10z

Combine like terms: 15z + -10z = 5z
-33 + 5z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-33 + 5z = 10 + 0
-33 + 5z = 10

Add '33' to each side of the equation.
-33 + 33 + 5z = 10 + 33

Combine like terms: -33 + 33 = 0
0 + 5z = 10 + 33
5z = 10 + 33

Combine like terms: 10 + 33 = 43
5z = 43

Divide each side by '5'.
z = 8.6

Simplifying
z = 8.6