6(4z-1)-3(z+9)=2(z+1)

Solution for 6(4z-1)-3(z+9)=2(z+1) equation:

Simplifying
6(4z + -1) + -3(z + 9) = 2(z + 1)

Reorder the terms:
6(-1 + 4z) + -3(z + 9) = 2(z + 1)
(-1 * 6 + 4z * 6) + -3(z + 9) = 2(z + 1)
(-6 + 24z) + -3(z + 9) = 2(z + 1)

Reorder the terms:
-6 + 24z + -3(9 + z) = 2(z + 1)
-6 + 24z + (9 * -3 + z * -3) = 2(z + 1)
-6 + 24z + (-27 + -3z) = 2(z + 1)

Reorder the terms:
-6 + -27 + 24z + -3z = 2(z + 1)

Combine like terms: -6 + -27 = -33
-33 + 24z + -3z = 2(z + 1)

Combine like terms: 24z + -3z = 21z
-33 + 21z = 2(z + 1)

Reorder the terms:
-33 + 21z = 2(1 + z)
-33 + 21z = (1 * 2 + z * 2)
-33 + 21z = (2 + 2z)

Solving
-33 + 21z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-33 + 21z + -2z = 2 + 2z + -2z

Combine like terms: 21z + -2z = 19z
-33 + 19z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-33 + 19z = 2 + 0
-33 + 19z = 2

Add '33' to each side of the equation.
-33 + 33 + 19z = 2 + 33

Combine like terms: -33 + 33 = 0
0 + 19z = 2 + 33
19z = 2 + 33

Combine like terms: 2 + 33 = 35
19z = 35

Divide each side by '19'.
z = 1.842105263

Simplifying
z = 1.842105263