-2(4p+1)-(3p-1)=5(3-p)-9

Solution for -2(4p+1)-(3p-1)=5(3-p)-9 equation:

Simplifying
-2(4p + 1) + -1(3p + -1) = 5(3 + -1p) + -9

Reorder the terms:
-2(1 + 4p) + -1(3p + -1) = 5(3 + -1p) + -9
(1 * -2 + 4p * -2) + -1(3p + -1) = 5(3 + -1p) + -9
(-2 + -8p) + -1(3p + -1) = 5(3 + -1p) + -9

Reorder the terms:
-2 + -8p + -1(-1 + 3p) = 5(3 + -1p) + -9
-2 + -8p + (-1 * -1 + 3p * -1) = 5(3 + -1p) + -9
-2 + -8p + (1 + -3p) = 5(3 + -1p) + -9

Reorder the terms:
-2 + 1 + -8p + -3p = 5(3 + -1p) + -9

Combine like terms: -2 + 1 = -1
-1 + -8p + -3p = 5(3 + -1p) + -9

Combine like terms: -8p + -3p = -11p
-1 + -11p = 5(3 + -1p) + -9
-1 + -11p = (3 * 5 + -1p * 5) + -9
-1 + -11p = (15 + -5p) + -9

Reorder the terms:
-1 + -11p = 15 + -9 + -5p

Combine like terms: 15 + -9 = 6
-1 + -11p = 6 + -5p

Solving
-1 + -11p = 6 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
-1 + -11p + 5p = 6 + -5p + 5p

Combine like terms: -11p + 5p = -6p
-1 + -6p = 6 + -5p + 5p

Combine like terms: -5p + 5p = 0
-1 + -6p = 6 + 0
-1 + -6p = 6

Add '1' to each side of the equation.
-1 + 1 + -6p = 6 + 1

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

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

Divide each side by '-6'.
p = -1.166666667

Simplifying
p = -1.166666667