105=2P-5(5P+2)

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Solution for 105=2P-5(5P+2) equation:


Simplifying
105 = 2P + -5(5P + 2)

Reorder the terms:
105 = 2P + -5(2 + 5P)
105 = 2P + (2 * -5 + 5P * -5)
105 = 2P + (-10 + -25P)

Reorder the terms:
105 = -10 + 2P + -25P

Combine like terms: 2P + -25P = -23P
105 = -10 + -23P

Solving
105 = -10 + -23P

Solving for variable 'P'.

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

Add '23P' to each side of the equation.
105 + 23P = -10 + -23P + 23P

Combine like terms: -23P + 23P = 0
105 + 23P = -10 + 0
105 + 23P = -10

Add '-105' to each side of the equation.
105 + -105 + 23P = -10 + -105

Combine like terms: 105 + -105 = 0
0 + 23P = -10 + -105
23P = -10 + -105

Combine like terms: -10 + -105 = -115
23P = -115

Divide each side by '23'.
P = -5

Simplifying
P = -5

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