24.55=p+3(8.2-.33p)

Solution for 24.55=p+3(8.2-.33p) equation:

Simplifying
24.55 = p + 3(8.2 + -0.33p)
24.55 = p + (8.2 * 3 + -0.33p * 3)
24.55 = p + (24.6 + -0.99p)

Reorder the terms:
24.55 = 24.6 + p + -0.99p

Combine like terms: p + -0.99p = 0.01p
24.55 = 24.6 + 0.01p

Solving
24.55 = 24.6 + 0.01p

Solving for variable 'p'.

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

Add '-0.01p' to each side of the equation.
24.55 + -0.01p = 24.6 + 0.01p + -0.01p

Combine like terms: 0.01p + -0.01p = 0.00
24.55 + -0.01p = 24.6 + 0.00
24.55 + -0.01p = 24.6

Add '-24.55' to each side of the equation.
24.55 + -24.55 + -0.01p = 24.6 + -24.55

Combine like terms: 24.55 + -24.55 = 0.00
0.00 + -0.01p = 24.6 + -24.55
-0.01p = 24.6 + -24.55

Combine like terms: 24.6 + -24.55 = 0.05
-0.01p = 0.05

Divide each side by '-0.01'.
p = -5

Simplifying
p = -5