22+8p=6+3(6p+2)

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Solution for 22+8p=6+3(6p+2) equation: 


Simplifying
22 + 8p = 6 + 3(6p + 2)

Reorder the terms:
22 + 8p = 6 + 3(2 + 6p)
22 + 8p = 6 + (2 * 3 + 6p * 3)
22 + 8p = 6 + (6 + 18p)

Combine like terms: 6 + 6 = 12
22 + 8p = 12 + 18p

Solving
22 + 8p = 12 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
22 + 8p + -18p = 12 + 18p + -18p

Combine like terms: 8p + -18p = -10p
22 + -10p = 12 + 18p + -18p

Combine like terms: 18p + -18p = 0
22 + -10p = 12 + 0
22 + -10p = 12

Add '-22' to each side of the equation.
22 + -22 + -10p = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -10p = 12 + -22
-10p = 12 + -22

Combine like terms: 12 + -22 = -10
-10p = -10

Divide each side by '-10'.
p = 1

Simplifying
p = 1

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