2(3p+5)+12=6-2p

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Solution for 2(3p+5)+12=6-2p equation:


Simplifying
2(3p + 5) + 12 = 6 + -2p

Reorder the terms:
2(5 + 3p) + 12 = 6 + -2p
(5 * 2 + 3p * 2) + 12 = 6 + -2p
(10 + 6p) + 12 = 6 + -2p

Reorder the terms:
10 + 12 + 6p = 6 + -2p

Combine like terms: 10 + 12 = 22
22 + 6p = 6 + -2p

Solving
22 + 6p = 6 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
22 + 6p + 2p = 6 + -2p + 2p

Combine like terms: 6p + 2p = 8p
22 + 8p = 6 + -2p + 2p

Combine like terms: -2p + 2p = 0
22 + 8p = 6 + 0
22 + 8p = 6

Add '-22' to each side of the equation.
22 + -22 + 8p = 6 + -22

Combine like terms: 22 + -22 = 0
0 + 8p = 6 + -22
8p = 6 + -22

Combine like terms: 6 + -22 = -16
8p = -16

Divide each side by '8'.
p = -2

Simplifying
p = -2

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