9p-2=5(2p+4)

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Solution for 9p-2=5(2p+4) equation:


Simplifying
9p + -2 = 5(2p + 4)

Reorder the terms:
-2 + 9p = 5(2p + 4)

Reorder the terms:
-2 + 9p = 5(4 + 2p)
-2 + 9p = (4 * 5 + 2p * 5)
-2 + 9p = (20 + 10p)

Solving
-2 + 9p = 20 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-2 + 9p + -10p = 20 + 10p + -10p

Combine like terms: 9p + -10p = -1p
-2 + -1p = 20 + 10p + -10p

Combine like terms: 10p + -10p = 0
-2 + -1p = 20 + 0
-2 + -1p = 20

Add '2' to each side of the equation.
-2 + 2 + -1p = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -1p = 20 + 2
-1p = 20 + 2

Combine like terms: 20 + 2 = 22
-1p = 22

Divide each side by '-1'.
p = -22

Simplifying
p = -22

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