P+(p+15)+(2p+15)=180

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Solution for P+(p+15)+(2p+15)=180 equation:


Simplifying
P + (p + 15) + (2p + 15) = 180

Reorder the terms:
P + (15 + p) + (2p + 15) = 180

Remove parenthesis around (15 + p)
P + 15 + p + (2p + 15) = 180

Reorder the terms:
P + 15 + p + (15 + 2p) = 180

Remove parenthesis around (15 + 2p)
P + 15 + p + 15 + 2p = 180

Reorder the terms:
15 + 15 + P + p + 2p = 180

Combine like terms: 15 + 15 = 30
30 + P + p + 2p = 180

Combine like terms: p + 2p = 3p
30 + P + 3p = 180

Solving
30 + P + 3p = 180

Solving for variable 'P'.

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

Add '-30' to each side of the equation.
30 + P + -30 + 3p = 180 + -30

Reorder the terms:
30 + -30 + P + 3p = 180 + -30

Combine like terms: 30 + -30 = 0
0 + P + 3p = 180 + -30
P + 3p = 180 + -30

Combine like terms: 180 + -30 = 150
P + 3p = 150

Add '-3p' to each side of the equation.
P + 3p + -3p = 150 + -3p

Combine like terms: 3p + -3p = 0
P + 0 = 150 + -3p
P = 150 + -3p

Simplifying
P = 150 + -3p

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