-3(5p+5)-2(5-11p)=3(6+2p)

Solution for -3(5p+5)-2(5-11p)=3(6+2p) equation:

Simplifying
-3(5p + 5) + -2(5 + -11p) = 3(6 + 2p)

Reorder the terms:
-3(5 + 5p) + -2(5 + -11p) = 3(6 + 2p)
(5 * -3 + 5p * -3) + -2(5 + -11p) = 3(6 + 2p)
(-15 + -15p) + -2(5 + -11p) = 3(6 + 2p)
-15 + -15p + (5 * -2 + -11p * -2) = 3(6 + 2p)
-15 + -15p + (-10 + 22p) = 3(6 + 2p)

Reorder the terms:
-15 + -10 + -15p + 22p = 3(6 + 2p)

Combine like terms: -15 + -10 = -25
-25 + -15p + 22p = 3(6 + 2p)

Combine like terms: -15p + 22p = 7p
-25 + 7p = 3(6 + 2p)
-25 + 7p = (6 * 3 + 2p * 3)
-25 + 7p = (18 + 6p)

Solving
-25 + 7p = 18 + 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.
-25 + 7p + -6p = 18 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-25 + 1p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-25 + 1p = 18 + 0
-25 + 1p = 18

Add '25' to each side of the equation.
-25 + 25 + 1p = 18 + 25

Combine like terms: -25 + 25 = 0
0 + 1p = 18 + 25
1p = 18 + 25

Combine like terms: 18 + 25 = 43
1p = 43

Divide each side by '1'.
p = 43

Simplifying
p = 43