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

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

Simplifying
3(5z + -2) + 2(3z + 1) = 0

Reorder the terms:
3(-2 + 5z) + 2(3z + 1) = 0
(-2 * 3 + 5z * 3) + 2(3z + 1) = 0
(-6 + 15z) + 2(3z + 1) = 0

Reorder the terms:
-6 + 15z + 2(1 + 3z) = 0
-6 + 15z + (1 * 2 + 3z * 2) = 0
-6 + 15z + (2 + 6z) = 0

Reorder the terms:
-6 + 2 + 15z + 6z = 0

Combine like terms: -6 + 2 = -4
-4 + 15z + 6z = 0

Combine like terms: 15z + 6z = 21z
-4 + 21z = 0

Solving
-4 + 21z = 0

Solving for variable 'z'.

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

Add '4' to each side of the equation.
-4 + 4 + 21z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 21z = 0 + 4
21z = 0 + 4

Combine like terms: 0 + 4 = 4
21z = 4

Divide each side by '21'.
z = 0.1904761905

Simplifying
z = 0.1904761905