22+8p=5p+4(p+4)

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Solution for 22+8p=5p+4(p+4) equation: 


Simplifying
22 + 8p = 5p + 4(p + 4)

Reorder the terms:
22 + 8p = 5p + 4(4 + p)
22 + 8p = 5p + (4 * 4 + p * 4)
22 + 8p = 5p + (16 + 4p)

Reorder the terms:
22 + 8p = 16 + 5p + 4p

Combine like terms: 5p + 4p = 9p
22 + 8p = 16 + 9p

Solving
22 + 8p = 16 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
22 + 8p + -9p = 16 + 9p + -9p

Combine like terms: 8p + -9p = -1p
22 + -1p = 16 + 9p + -9p

Combine like terms: 9p + -9p = 0
22 + -1p = 16 + 0
22 + -1p = 16

Add '-22' to each side of the equation.
22 + -22 + -1p = 16 + -22

Combine like terms: 22 + -22 = 0
0 + -1p = 16 + -22
-1p = 16 + -22

Combine like terms: 16 + -22 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6

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