-3(5p+5)-2(3-11p)=3(1+2p)

Solution for -3(5p+5)-2(3-11p)=3(1+2p) equation:

Simplifying
-3(5p + 5) + -2(3 + -11p) = 3(1 + 2p)

Reorder the terms:
-3(5 + 5p) + -2(3 + -11p) = 3(1 + 2p)
(5 * -3 + 5p * -3) + -2(3 + -11p) = 3(1 + 2p)
(-15 + -15p) + -2(3 + -11p) = 3(1 + 2p)
-15 + -15p + (3 * -2 + -11p * -2) = 3(1 + 2p)
-15 + -15p + (-6 + 22p) = 3(1 + 2p)

Reorder the terms:
-15 + -6 + -15p + 22p = 3(1 + 2p)

Combine like terms: -15 + -6 = -21
-21 + -15p + 22p = 3(1 + 2p)

Combine like terms: -15p + 22p = 7p
-21 + 7p = 3(1 + 2p)
-21 + 7p = (1 * 3 + 2p * 3)
-21 + 7p = (3 + 6p)

Solving
-21 + 7p = 3 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-21 + 7p + -6p = 3 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-21 + 1p = 3 + 6p + -6p

Combine like terms: 6p + -6p = 0
-21 + 1p = 3 + 0
-21 + 1p = 3

Add '21' to each side of the equation.
-21 + 21 + 1p = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 3 + 21
1p = 3 + 21

Combine like terms: 3 + 21 = 24
1p = 24

Divide each side by '1'.
p = 24

Simplifying
p = 24