-9.5(7.5c-4.5)=15.5

Solution for -9.5(7.5c-4.5)=15.5 equation:

Simplifying
-9.5(7.5c + -4.5) = 15.5

Reorder the terms:
-9.5(-4.5 + 7.5c) = 15.5
(-4.5 * -9.5 + 7.5c * -9.5) = 15.5
(42.75 + -71.25c) = 15.5

Solving
42.75 + -71.25c = 15.5

Solving for variable 'c'.

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

Add '-42.75' to each side of the equation.
42.75 + -42.75 + -71.25c = 15.5 + -42.75

Combine like terms: 42.75 + -42.75 = 0.00
0.00 + -71.25c = 15.5 + -42.75
-71.25c = 15.5 + -42.75

Combine like terms: 15.5 + -42.75 = -27.25
-71.25c = -27.25

Divide each side by '-71.25'.
c = 0.3824561404

Simplifying
c = 0.3824561404