3(5z-1)-4(z+9)=2(2+1)

Solution for 3(5z-1)-4(z+9)=2(2+1) equation:

Simplifying
3(5z + -1) + -4(z + 9) = 2(2 + 1)

Reorder the terms:
3(-1 + 5z) + -4(z + 9) = 2(2 + 1)
(-1 * 3 + 5z * 3) + -4(z + 9) = 2(2 + 1)
(-3 + 15z) + -4(z + 9) = 2(2 + 1)

Reorder the terms:
-3 + 15z + -4(9 + z) = 2(2 + 1)
-3 + 15z + (9 * -4 + z * -4) = 2(2 + 1)
-3 + 15z + (-36 + -4z) = 2(2 + 1)

Reorder the terms:
-3 + -36 + 15z + -4z = 2(2 + 1)

Combine like terms: -3 + -36 = -39
-39 + 15z + -4z = 2(2 + 1)

Combine like terms: 15z + -4z = 11z
-39 + 11z = 2(2 + 1)

Combine like terms: 2 + 1 = 3
-39 + 11z = 2(3)

Multiply 2 * 3
-39 + 11z = 6

Solving
-39 + 11z = 6

Solving for variable 'z'.

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

Add '39' to each side of the equation.
-39 + 39 + 11z = 6 + 39

Combine like terms: -39 + 39 = 0
0 + 11z = 6 + 39
11z = 6 + 39

Combine like terms: 6 + 39 = 45
11z = 45

Divide each side by '11'.
z = 4.090909091

Simplifying
z = 4.090909091