p+(p-6)+(p+60)+3(p-53)=120

Solution for p+(p-6)+(p+60)+3(p-53)=120 equation:

Simplifying
p + (p + -6) + (p + 60) + 3(p + -53) = 120

Reorder the terms:
p + (-6 + p) + (p + 60) + 3(p + -53) = 120

Remove parenthesis around (-6 + p)
p + -6 + p + (p + 60) + 3(p + -53) = 120

Reorder the terms:
p + -6 + p + (60 + p) + 3(p + -53) = 120

Remove parenthesis around (60 + p)
p + -6 + p + 60 + p + 3(p + -53) = 120

Reorder the terms:
p + -6 + p + 60 + p + 3(-53 + p) = 120
p + -6 + p + 60 + p + (-53 * 3 + p * 3) = 120
p + -6 + p + 60 + p + (-159 + 3p) = 120

Reorder the terms:
-6 + 60 + -159 + p + p + p + 3p = 120

Combine like terms: -6 + 60 = 54
54 + -159 + p + p + p + 3p = 120

Combine like terms: 54 + -159 = -105
-105 + p + p + p + 3p = 120

Combine like terms: p + p = 2p
-105 + 2p + p + 3p = 120

Combine like terms: 2p + p = 3p
-105 + 3p + 3p = 120

Combine like terms: 3p + 3p = 6p
-105 + 6p = 120

Solving
-105 + 6p = 120

Solving for variable 'p'.

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

Add '105' to each side of the equation.
-105 + 105 + 6p = 120 + 105

Combine like terms: -105 + 105 = 0
0 + 6p = 120 + 105
6p = 120 + 105

Combine like terms: 120 + 105 = 225
6p = 225

Divide each side by '6'.
p = 37.5

Simplifying
p = 37.5