-34=-6(1+2p)+4(1-p)

Solution for -34=-6(1+2p)+4(1-p) equation:

Simplifying
-34 = -6(1 + 2p) + 4(1 + -1p)
-34 = (1 * -6 + 2p * -6) + 4(1 + -1p)
-34 = (-6 + -12p) + 4(1 + -1p)
-34 = -6 + -12p + (1 * 4 + -1p * 4)
-34 = -6 + -12p + (4 + -4p)

Reorder the terms:
-34 = -6 + 4 + -12p + -4p

Combine like terms: -6 + 4 = -2
-34 = -2 + -12p + -4p

Combine like terms: -12p + -4p = -16p
-34 = -2 + -16p

Solving
-34 = -2 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
-34 + 16p = -2 + -16p + 16p

Combine like terms: -16p + 16p = 0
-34 + 16p = -2 + 0
-34 + 16p = -2

Add '34' to each side of the equation.
-34 + 34 + 16p = -2 + 34

Combine like terms: -34 + 34 = 0
0 + 16p = -2 + 34
16p = -2 + 34

Combine like terms: -2 + 34 = 32
16p = 32

Divide each side by '16'.
p = 2

Simplifying
p = 2