.01z-.3(1-z)=1

Solution for .01z-.3(1-z)=1 equation:

Simplifying
0.01z + -0.3(1 + -1z) = 1
0.01z + (1 * -0.3 + -1z * -0.3) = 1
0.01z + (-0.3 + 0.3z) = 1

Reorder the terms:
-0.3 + 0.01z + 0.3z = 1

Combine like terms: 0.01z + 0.3z = 0.31z
-0.3 + 0.31z = 1

Solving
-0.3 + 0.31z = 1

Solving for variable 'z'.

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

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.31z = 1 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.31z = 1 + 0.3
0.31z = 1 + 0.3

Combine like terms: 1 + 0.3 = 1.3
0.31z = 1.3

Divide each side by '0.31'.
z = 4.193548387

Simplifying
z = 4.193548387