109.2=3(10c+9)

Solution for 109.2=3(10c+9) equation:

Simplifying
109.2 = 3(10c + 9)

Reorder the terms:
109.2 = 3(9 + 10c)
109.2 = (9 * 3 + 10c * 3)
109.2 = (27 + 30c)

Solving
109.2 = 27 + 30c

Solving for variable 'c'.

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

Add '-30c' to each side of the equation.
109.2 + -30c = 27 + 30c + -30c

Combine like terms: 30c + -30c = 0
109.2 + -30c = 27 + 0
109.2 + -30c = 27

Add '-109.2' to each side of the equation.
109.2 + -109.2 + -30c = 27 + -109.2

Combine like terms: 109.2 + -109.2 = 0.0
0.0 + -30c = 27 + -109.2
-30c = 27 + -109.2

Combine like terms: 27 + -109.2 = -82.2
-30c = -82.2

Divide each side by '-30'.
c = 2.74

Simplifying
c = 2.74