-8(3-3p)-3(6+5p)=21

Solution for -8(3-3p)-3(6+5p)=21 equation:

Simplifying
-8(3 + -3p) + -3(6 + 5p) = 21
(3 * -8 + -3p * -8) + -3(6 + 5p) = 21
(-24 + 24p) + -3(6 + 5p) = 21
-24 + 24p + (6 * -3 + 5p * -3) = 21
-24 + 24p + (-18 + -15p) = 21

Reorder the terms:
-24 + -18 + 24p + -15p = 21

Combine like terms: -24 + -18 = -42
-42 + 24p + -15p = 21

Combine like terms: 24p + -15p = 9p
-42 + 9p = 21

Solving
-42 + 9p = 21

Solving for variable 'p'.

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

Add '42' to each side of the equation.
-42 + 42 + 9p = 21 + 42

Combine like terms: -42 + 42 = 0
0 + 9p = 21 + 42
9p = 21 + 42

Combine like terms: 21 + 42 = 63
9p = 63

Divide each side by '9'.
p = 7

Simplifying
p = 7