2(-7.5z+3)+(5z-2)=

Solution for 2(-7.5z+3)+(5z-2)= equation:

Simplifying
2(-7.5z + 3) + (5z + -2) = 0

Reorder the terms:
2(3 + -7.5z) + (5z + -2) = 0
(3 * 2 + -7.5z * 2) + (5z + -2) = 0
(6 + -15z) + (5z + -2) = 0

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

Remove parenthesis around (-2 + 5z)
6 + -15z + -2 + 5z = 0

Reorder the terms:
6 + -2 + -15z + 5z = 0

Combine like terms: 6 + -2 = 4
4 + -15z + 5z = 0

Combine like terms: -15z + 5z = -10z
4 + -10z = 0

Solving
4 + -10z = 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 + -10z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -10z = 0 + -4
-10z = 0 + -4

Combine like terms: 0 + -4 = -4
-10z = -4

Divide each side by '-10'.
z = 0.4

Simplifying
z = 0.4