-9.5+7.5(z+5.5)=24.5

Solution for -9.5+7.5(z+5.5)=24.5 equation:

Simplifying
-9.5 + 7.5(z + 5.5) = 24.5

Reorder the terms:
-9.5 + 7.5(5.5 + z) = 24.5
-9.5 + (5.5 * 7.5 + z * 7.5) = 24.5
-9.5 + (41.25 + 7.5z) = 24.5

Combine like terms: -9.5 + 41.25 = 31.75
31.75 + 7.5z = 24.5

Solving
31.75 + 7.5z = 24.5

Solving for variable 'z'.

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

Add '-31.75' to each side of the equation.
31.75 + -31.75 + 7.5z = 24.5 + -31.75

Combine like terms: 31.75 + -31.75 = 0.00
0.00 + 7.5z = 24.5 + -31.75
7.5z = 24.5 + -31.75

Combine like terms: 24.5 + -31.75 = -7.25
7.5z = -7.25

Divide each side by '7.5'.
z = -0.9666666667

Simplifying
z = -0.9666666667