2(p+8)-4p=3(2p-8)

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Solution for 2(p+8)-4p=3(2p-8) equation:


Simplifying
2(p + 8) + -4p = 3(2p + -8)

Reorder the terms:
2(8 + p) + -4p = 3(2p + -8)
(8 * 2 + p * 2) + -4p = 3(2p + -8)
(16 + 2p) + -4p = 3(2p + -8)

Combine like terms: 2p + -4p = -2p
16 + -2p = 3(2p + -8)

Reorder the terms:
16 + -2p = 3(-8 + 2p)
16 + -2p = (-8 * 3 + 2p * 3)
16 + -2p = (-24 + 6p)

Solving
16 + -2p = -24 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
16 + -2p + -6p = -24 + 6p + -6p

Combine like terms: -2p + -6p = -8p
16 + -8p = -24 + 6p + -6p

Combine like terms: 6p + -6p = 0
16 + -8p = -24 + 0
16 + -8p = -24

Add '-16' to each side of the equation.
16 + -16 + -8p = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -8p = -24 + -16
-8p = -24 + -16

Combine like terms: -24 + -16 = -40
-8p = -40

Divide each side by '-8'.
p = 5

Simplifying
p = 5

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