p+2p+3p+4p+5p-1-2-3-4-5=30

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Solution for p+2p+3p+4p+5p-1-2-3-4-5=30 equation: 


Simplifying
p + 2p + 3p + 4p + 5p + -1 + -2 + -3 + -4 + -5 = 30

Reorder the terms:
-1 + -2 + -3 + -4 + -5 + p + 2p + 3p + 4p + 5p = 30

Combine like terms: -1 + -2 = -3
-3 + -3 + -4 + -5 + p + 2p + 3p + 4p + 5p = 30

Combine like terms: -3 + -3 = -6
-6 + -4 + -5 + p + 2p + 3p + 4p + 5p = 30

Combine like terms: -6 + -4 = -10
-10 + -5 + p + 2p + 3p + 4p + 5p = 30

Combine like terms: -10 + -5 = -15
-15 + p + 2p + 3p + 4p + 5p = 30

Combine like terms: p + 2p = 3p
-15 + 3p + 3p + 4p + 5p = 30

Combine like terms: 3p + 3p = 6p
-15 + 6p + 4p + 5p = 30

Combine like terms: 6p + 4p = 10p
-15 + 10p + 5p = 30

Combine like terms: 10p + 5p = 15p
-15 + 15p = 30

Solving
-15 + 15p = 30

Solving for variable 'p'.

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

Add '15' to each side of the equation.
-15 + 15 + 15p = 30 + 15

Combine like terms: -15 + 15 = 0
0 + 15p = 30 + 15
15p = 30 + 15

Combine like terms: 30 + 15 = 45
15p = 45

Divide each side by '15'.
p = 3

Simplifying
p = 3

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