(z-6)=0.23(x-6)+0.3(y-6)

Solution for (z-6)=0.23(x-6)+0.3(y-6) equation:

Simplifying
(z + -6) = 0.23(x + -6) + 0.3(y + -6)

Reorder the terms:
(-6 + z) = 0.23(x + -6) + 0.3(y + -6)

Remove parenthesis around (-6 + z)
-6 + z = 0.23(x + -6) + 0.3(y + -6)

Reorder the terms:
-6 + z = 0.23(-6 + x) + 0.3(y + -6)
-6 + z = (-6 * 0.23 + x * 0.23) + 0.3(y + -6)
-6 + z = (-1.38 + 0.23x) + 0.3(y + -6)

Reorder the terms:
-6 + z = -1.38 + 0.23x + 0.3(-6 + y)
-6 + z = -1.38 + 0.23x + (-6 * 0.3 + y * 0.3)
-6 + z = -1.38 + 0.23x + (-1.8 + 0.3y)

Reorder the terms:
-6 + z = -1.38 + -1.8 + 0.23x + 0.3y

Combine like terms: -1.38 + -1.8 = -3.18
-6 + z = -3.18 + 0.23x + 0.3y

Solving
-6 + z = -3.18 + 0.23x + 0.3y

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + z = -3.18 + 0.23x + 6 + 0.3y

Combine like terms: -6 + 6 = 0
0 + z = -3.18 + 0.23x + 6 + 0.3y
z = -3.18 + 0.23x + 6 + 0.3y

Reorder the terms:
z = -3.18 + 6 + 0.23x + 0.3y

Combine like terms: -3.18 + 6 = 2.82
z = 2.82 + 0.23x + 0.3y

Simplifying
z = 2.82 + 0.23x + 0.3y