-p+6=2(6p-9)-4(5+6p)

Solution for -p+6=2(6p-9)-4(5+6p) equation:

Simplifying
-1p + 6 = 2(6p + -9) + -4(5 + 6p)

Reorder the terms:
6 + -1p = 2(6p + -9) + -4(5 + 6p)

Reorder the terms:
6 + -1p = 2(-9 + 6p) + -4(5 + 6p)
6 + -1p = (-9 * 2 + 6p * 2) + -4(5 + 6p)
6 + -1p = (-18 + 12p) + -4(5 + 6p)
6 + -1p = -18 + 12p + (5 * -4 + 6p * -4)
6 + -1p = -18 + 12p + (-20 + -24p)

Reorder the terms:
6 + -1p = -18 + -20 + 12p + -24p

Combine like terms: -18 + -20 = -38
6 + -1p = -38 + 12p + -24p

Combine like terms: 12p + -24p = -12p
6 + -1p = -38 + -12p

Solving
6 + -1p = -38 + -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
6 + -1p + 12p = -38 + -12p + 12p

Combine like terms: -1p + 12p = 11p
6 + 11p = -38 + -12p + 12p

Combine like terms: -12p + 12p = 0
6 + 11p = -38 + 0
6 + 11p = -38

Add '-6' to each side of the equation.
6 + -6 + 11p = -38 + -6

Combine like terms: 6 + -6 = 0
0 + 11p = -38 + -6
11p = -38 + -6

Combine like terms: -38 + -6 = -44
11p = -44

Divide each side by '11'.
p = -4

Simplifying
p = -4