-6(-4p-8)+6(1-6p)=78

Solution for -6(-4p-8)+6(1-6p)=78 equation:

Simplifying
-6(-4p + -8) + 6(1 + -6p) = 78

Reorder the terms:
-6(-8 + -4p) + 6(1 + -6p) = 78
(-8 * -6 + -4p * -6) + 6(1 + -6p) = 78
(48 + 24p) + 6(1 + -6p) = 78
48 + 24p + (1 * 6 + -6p * 6) = 78
48 + 24p + (6 + -36p) = 78

Reorder the terms:
48 + 6 + 24p + -36p = 78

Combine like terms: 48 + 6 = 54
54 + 24p + -36p = 78

Combine like terms: 24p + -36p = -12p
54 + -12p = 78

Solving
54 + -12p = 78

Solving for variable 'p'.

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

Add '-54' to each side of the equation.
54 + -54 + -12p = 78 + -54

Combine like terms: 54 + -54 = 0
0 + -12p = 78 + -54
-12p = 78 + -54

Combine like terms: 78 + -54 = 24
-12p = 24

Divide each side by '-12'.
p = -2

Simplifying
p = -2