6(2p+4)-8=8p+32

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Solution for 6(2p+4)-8=8p+32 equation: 


Simplifying
6(2p + 4) + -8 = 8p + 32

Reorder the terms:
6(4 + 2p) + -8 = 8p + 32
(4 * 6 + 2p * 6) + -8 = 8p + 32
(24 + 12p) + -8 = 8p + 32

Reorder the terms:
24 + -8 + 12p = 8p + 32

Combine like terms: 24 + -8 = 16
16 + 12p = 8p + 32

Reorder the terms:
16 + 12p = 32 + 8p

Solving
16 + 12p = 32 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
16 + 12p + -8p = 32 + 8p + -8p

Combine like terms: 12p + -8p = 4p
16 + 4p = 32 + 8p + -8p

Combine like terms: 8p + -8p = 0
16 + 4p = 32 + 0
16 + 4p = 32

Add '-16' to each side of the equation.
16 + -16 + 4p = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 4p = 32 + -16
4p = 32 + -16

Combine like terms: 32 + -16 = 16
4p = 16

Divide each side by '4'.
p = 4

Simplifying
p = 4

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