0.5z+0.3(6+z)=

Solution for 0.5z+0.3(6+z)= equation:

Simplifying
0.5z + 0.3(6 + z) = 0
0.5z + (6 * 0.3 + z * 0.3) = 0
0.5z + (1.8 + 0.3z) = 0

Reorder the terms:
1.8 + 0.5z + 0.3z = 0

Combine like terms: 0.5z + 0.3z = 0.8z
1.8 + 0.8z = 0

Solving
1.8 + 0.8z = 0

Solving for variable 'z'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.8z = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.8z = 0 + -1.8
0.8z = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
0.8z = -1.8

Divide each side by '0.8'.
z = -2.25

Simplifying
z = -2.25