2(3p+5)+p=13-2p+15

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Solution for 2(3p+5)+p=13-2p+15 equation: 


Simplifying
2(3p + 5) + p = 13 + -2p + 15

Reorder the terms:
2(5 + 3p) + p = 13 + -2p + 15
(5 * 2 + 3p * 2) + p = 13 + -2p + 15
(10 + 6p) + p = 13 + -2p + 15

Combine like terms: 6p + p = 7p
10 + 7p = 13 + -2p + 15

Reorder the terms:
10 + 7p = 13 + 15 + -2p

Combine like terms: 13 + 15 = 28
10 + 7p = 28 + -2p

Solving
10 + 7p = 28 + -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.
10 + 7p + 2p = 28 + -2p + 2p

Combine like terms: 7p + 2p = 9p
10 + 9p = 28 + -2p + 2p

Combine like terms: -2p + 2p = 0
10 + 9p = 28 + 0
10 + 9p = 28

Add '-10' to each side of the equation.
10 + -10 + 9p = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 9p = 28 + -10
9p = 28 + -10

Combine like terms: 28 + -10 = 18
9p = 18

Divide each side by '9'.
p = 2

Simplifying
p = 2

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