2p+13+(6p-19)+(3p-23)=180

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Solution for 2p+13+(6p-19)+(3p-23)=180 equation: 


Simplifying
2p + 13 + (6p + -19) + (3p + -23) = 180

Reorder the terms:
2p + 13 + (-19 + 6p) + (3p + -23) = 180

Remove parenthesis around (-19 + 6p)
2p + 13 + -19 + 6p + (3p + -23) = 180

Reorder the terms:
2p + 13 + -19 + 6p + (-23 + 3p) = 180

Remove parenthesis around (-23 + 3p)
2p + 13 + -19 + 6p + -23 + 3p = 180

Reorder the terms:
13 + -19 + -23 + 2p + 6p + 3p = 180

Combine like terms: 13 + -19 = -6
-6 + -23 + 2p + 6p + 3p = 180

Combine like terms: -6 + -23 = -29
-29 + 2p + 6p + 3p = 180

Combine like terms: 2p + 6p = 8p
-29 + 8p + 3p = 180

Combine like terms: 8p + 3p = 11p
-29 + 11p = 180

Solving
-29 + 11p = 180

Solving for variable 'p'.

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

Add '29' to each side of the equation.
-29 + 29 + 11p = 180 + 29

Combine like terms: -29 + 29 = 0
0 + 11p = 180 + 29
11p = 180 + 29

Combine like terms: 180 + 29 = 209
11p = 209

Divide each side by '11'.
p = 19

Simplifying
p = 19

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