2(h+8)-(2h-8)=6(2p-1)

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

Simplifying
2(h + 8) + -1(2h + -8) = 6(2p + -1)

Reorder the terms:
2(8 + h) + -1(2h + -8) = 6(2p + -1)
(8 * 2 + h * 2) + -1(2h + -8) = 6(2p + -1)
(16 + 2h) + -1(2h + -8) = 6(2p + -1)

Reorder the terms:
16 + 2h + -1(-8 + 2h) = 6(2p + -1)
16 + 2h + (-8 * -1 + 2h * -1) = 6(2p + -1)
16 + 2h + (8 + -2h) = 6(2p + -1)

Reorder the terms:
16 + 8 + 2h + -2h = 6(2p + -1)

Combine like terms: 16 + 8 = 24
24 + 2h + -2h = 6(2p + -1)

Combine like terms: 2h + -2h = 0
24 + 0 = 6(2p + -1)
24 = 6(2p + -1)

Reorder the terms:
24 = 6(-1 + 2p)
24 = (-1 * 6 + 2p * 6)
24 = (-6 + 12p)

Solving
24 = -6 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
24 + -12p = -6 + 12p + -12p

Combine like terms: 12p + -12p = 0
24 + -12p = -6 + 0
24 + -12p = -6

Add '-24' to each side of the equation.
24 + -24 + -12p = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -12p = -6 + -24
-12p = -6 + -24

Combine like terms: -6 + -24 = -30
-12p = -30

Divide each side by '-12'.
p = 2.5

Simplifying
p = 2.5