p+(34+p)+(3p-40)=789

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Solution for p+(34+p)+(3p-40)=789 equation:


Simplifying
p + (34 + p) + (3p + -40) = 789

Remove parenthesis around (34 + p)
p + 34 + p + (3p + -40) = 789

Reorder the terms:
p + 34 + p + (-40 + 3p) = 789

Remove parenthesis around (-40 + 3p)
p + 34 + p + -40 + 3p = 789

Reorder the terms:
34 + -40 + p + p + 3p = 789

Combine like terms: 34 + -40 = -6
-6 + p + p + 3p = 789

Combine like terms: p + p = 2p
-6 + 2p + 3p = 789

Combine like terms: 2p + 3p = 5p
-6 + 5p = 789

Solving
-6 + 5p = 789

Solving for variable 'p'.

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

Add '6' to each side of the equation.
-6 + 6 + 5p = 789 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = 789 + 6
5p = 789 + 6

Combine like terms: 789 + 6 = 795
5p = 795

Divide each side by '5'.
p = 159

Simplifying
p = 159

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