-6(8p+1)+6p=-2(3-5p)

Solution for -6(8p+1)+6p=-2(3-5p) equation:

Simplifying
-6(8p + 1) + 6p = -2(3 + -5p)

Reorder the terms:
-6(1 + 8p) + 6p = -2(3 + -5p)
(1 * -6 + 8p * -6) + 6p = -2(3 + -5p)
(-6 + -48p) + 6p = -2(3 + -5p)

Combine like terms: -48p + 6p = -42p
-6 + -42p = -2(3 + -5p)
-6 + -42p = (3 * -2 + -5p * -2)
-6 + -42p = (-6 + 10p)

Add '6' to each side of the equation.
-6 + 6 + -42p = -6 + 6 + 10p

Combine like terms: -6 + 6 = 0
0 + -42p = -6 + 6 + 10p
-42p = -6 + 6 + 10p

Combine like terms: -6 + 6 = 0
-42p = 0 + 10p
-42p = 10p

Solving
-42p = 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-42p + -10p = 10p + -10p

Combine like terms: -42p + -10p = -52p
-52p = 10p + -10p

Combine like terms: 10p + -10p = 0
-52p = 0

Divide each side by '-52'.
p = 0

Simplifying
p = 0