-3(5p+3)-2(4-11p)=3(6+2p)

Solution for -3(5p+3)-2(4-11p)=3(6+2p) equation:

Simplifying
-3(5p + 3) + -2(4 + -11p) = 3(6 + 2p)

Reorder the terms:
-3(3 + 5p) + -2(4 + -11p) = 3(6 + 2p)
(3 * -3 + 5p * -3) + -2(4 + -11p) = 3(6 + 2p)
(-9 + -15p) + -2(4 + -11p) = 3(6 + 2p)
-9 + -15p + (4 * -2 + -11p * -2) = 3(6 + 2p)
-9 + -15p + (-8 + 22p) = 3(6 + 2p)

Reorder the terms:
-9 + -8 + -15p + 22p = 3(6 + 2p)

Combine like terms: -9 + -8 = -17
-17 + -15p + 22p = 3(6 + 2p)

Combine like terms: -15p + 22p = 7p
-17 + 7p = 3(6 + 2p)
-17 + 7p = (6 * 3 + 2p * 3)
-17 + 7p = (18 + 6p)

Solving
-17 + 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.
-17 + 7p + -6p = 18 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-17 + 1p = 18 + 6p + -6p

Combine like terms: 6p + -6p = 0
-17 + 1p = 18 + 0
-17 + 1p = 18

Add '17' to each side of the equation.
-17 + 17 + 1p = 18 + 17

Combine like terms: -17 + 17 = 0
0 + 1p = 18 + 17
1p = 18 + 17

Combine like terms: 18 + 17 = 35
1p = 35

Divide each side by '1'.
p = 35

Simplifying
p = 35