-3(3p+5)-2(3-11p)=3(3+4p)

Solution for -3(3p+5)-2(3-11p)=3(3+4p) equation:

Simplifying
-3(3p + 5) + -2(3 + -11p) = 3(3 + 4p)

Reorder the terms:
-3(5 + 3p) + -2(3 + -11p) = 3(3 + 4p)
(5 * -3 + 3p * -3) + -2(3 + -11p) = 3(3 + 4p)
(-15 + -9p) + -2(3 + -11p) = 3(3 + 4p)
-15 + -9p + (3 * -2 + -11p * -2) = 3(3 + 4p)
-15 + -9p + (-6 + 22p) = 3(3 + 4p)

Reorder the terms:
-15 + -6 + -9p + 22p = 3(3 + 4p)

Combine like terms: -15 + -6 = -21
-21 + -9p + 22p = 3(3 + 4p)

Combine like terms: -9p + 22p = 13p
-21 + 13p = 3(3 + 4p)
-21 + 13p = (3 * 3 + 4p * 3)
-21 + 13p = (9 + 12p)

Solving
-21 + 13p = 9 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-21 + 13p + -12p = 9 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-21 + 1p = 9 + 12p + -12p

Combine like terms: 12p + -12p = 0
-21 + 1p = 9 + 0
-21 + 1p = 9

Add '21' to each side of the equation.
-21 + 21 + 1p = 9 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 9 + 21
1p = 9 + 21

Combine like terms: 9 + 21 = 30
1p = 30

Divide each side by '1'.
p = 30

Simplifying
p = 30