6-2(1+3p)=-6-4(p+9)

Solution for 6-2(1+3p)=-6-4(p+9) equation:

Simplifying
6 + -2(1 + 3p) = -6 + -4(p + 9)
6 + (1 * -2 + 3p * -2) = -6 + -4(p + 9)
6 + (-2 + -6p) = -6 + -4(p + 9)

Combine like terms: 6 + -2 = 4
4 + -6p = -6 + -4(p + 9)

Reorder the terms:
4 + -6p = -6 + -4(9 + p)
4 + -6p = -6 + (9 * -4 + p * -4)
4 + -6p = -6 + (-36 + -4p)

Combine like terms: -6 + -36 = -42
4 + -6p = -42 + -4p

Solving
4 + -6p = -42 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
4 + -6p + 4p = -42 + -4p + 4p

Combine like terms: -6p + 4p = -2p
4 + -2p = -42 + -4p + 4p

Combine like terms: -4p + 4p = 0
4 + -2p = -42 + 0
4 + -2p = -42

Add '-4' to each side of the equation.
4 + -4 + -2p = -42 + -4

Combine like terms: 4 + -4 = 0
0 + -2p = -42 + -4
-2p = -42 + -4

Combine like terms: -42 + -4 = -46
-2p = -46

Divide each side by '-2'.
p = 23

Simplifying
p = 23