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

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

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

Reorder the terms:
-3(5 + 4p) + -2(2 + -11p) = 3(4 + 3p)
(5 * -3 + 4p * -3) + -2(2 + -11p) = 3(4 + 3p)
(-15 + -12p) + -2(2 + -11p) = 3(4 + 3p)
-15 + -12p + (2 * -2 + -11p * -2) = 3(4 + 3p)
-15 + -12p + (-4 + 22p) = 3(4 + 3p)

Reorder the terms:
-15 + -4 + -12p + 22p = 3(4 + 3p)

Combine like terms: -15 + -4 = -19
-19 + -12p + 22p = 3(4 + 3p)

Combine like terms: -12p + 22p = 10p
-19 + 10p = 3(4 + 3p)
-19 + 10p = (4 * 3 + 3p * 3)
-19 + 10p = (12 + 9p)

Solving
-19 + 10p = 12 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-19 + 10p + -9p = 12 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-19 + 1p = 12 + 9p + -9p

Combine like terms: 9p + -9p = 0
-19 + 1p = 12 + 0
-19 + 1p = 12

Add '19' to each side of the equation.
-19 + 19 + 1p = 12 + 19

Combine like terms: -19 + 19 = 0
0 + 1p = 12 + 19
1p = 12 + 19

Combine like terms: 12 + 19 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31