-5p+3=2(-4p-6)+6(9+p)

Solution for -5p+3=2(-4p-6)+6(9+p) equation:

Simplifying
-5p + 3 = 2(-4p + -6) + 6(9 + p)

Reorder the terms:
3 + -5p = 2(-4p + -6) + 6(9 + p)

Reorder the terms:
3 + -5p = 2(-6 + -4p) + 6(9 + p)
3 + -5p = (-6 * 2 + -4p * 2) + 6(9 + p)
3 + -5p = (-12 + -8p) + 6(9 + p)
3 + -5p = -12 + -8p + (9 * 6 + p * 6)
3 + -5p = -12 + -8p + (54 + 6p)

Reorder the terms:
3 + -5p = -12 + 54 + -8p + 6p

Combine like terms: -12 + 54 = 42
3 + -5p = 42 + -8p + 6p

Combine like terms: -8p + 6p = -2p
3 + -5p = 42 + -2p

Solving
3 + -5p = 42 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
3 + -5p + 2p = 42 + -2p + 2p

Combine like terms: -5p + 2p = -3p
3 + -3p = 42 + -2p + 2p

Combine like terms: -2p + 2p = 0
3 + -3p = 42 + 0
3 + -3p = 42

Add '-3' to each side of the equation.
3 + -3 + -3p = 42 + -3

Combine like terms: 3 + -3 = 0
0 + -3p = 42 + -3
-3p = 42 + -3

Combine like terms: 42 + -3 = 39
-3p = 39

Divide each side by '-3'.
p = -13

Simplifying
p = -13