0.3(9z+3)-(z-6)=

Solution for 0.3(9z+3)-(z-6)= equation:

Simplifying
0.3(9z + 3) + -1(z + -6) = 0

Reorder the terms:
0.3(3 + 9z) + -1(z + -6) = 0
(3 * 0.3 + 9z * 0.3) + -1(z + -6) = 0
(0.9 + 2.7z) + -1(z + -6) = 0

Reorder the terms:
0.9 + 2.7z + -1(-6 + z) = 0
0.9 + 2.7z + (-6 * -1 + z * -1) = 0
0.9 + 2.7z + (6 + -1z) = 0

Reorder the terms:
0.9 + 6 + 2.7z + -1z = 0

Combine like terms: 0.9 + 6 = 6.9
6.9 + 2.7z + -1z = 0

Combine like terms: 2.7z + -1z = 1.7z
6.9 + 1.7z = 0

Solving
6.9 + 1.7z = 0

Solving for variable 'z'.

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

Add '-6.9' to each side of the equation.
6.9 + -6.9 + 1.7z = 0 + -6.9

Combine like terms: 6.9 + -6.9 = 0.0
0.0 + 1.7z = 0 + -6.9
1.7z = 0 + -6.9

Combine like terms: 0 + -6.9 = -6.9
1.7z = -6.9

Divide each side by '1.7'.
z = -4.058823529

Simplifying
z = -4.058823529