p-85=5(-2p-9)+p

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Solution for p-85=5(-2p-9)+p equation:


Simplifying
p + -85 = 5(-2p + -9) + p

Reorder the terms:
-85 + p = 5(-2p + -9) + p

Reorder the terms:
-85 + p = 5(-9 + -2p) + p
-85 + p = (-9 * 5 + -2p * 5) + p
-85 + p = (-45 + -10p) + p

Combine like terms: -10p + p = -9p
-85 + p = -45 + -9p

Solving
-85 + p = -45 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
-85 + p + 9p = -45 + -9p + 9p

Combine like terms: p + 9p = 10p
-85 + 10p = -45 + -9p + 9p

Combine like terms: -9p + 9p = 0
-85 + 10p = -45 + 0
-85 + 10p = -45

Add '85' to each side of the equation.
-85 + 85 + 10p = -45 + 85

Combine like terms: -85 + 85 = 0
0 + 10p = -45 + 85
10p = -45 + 85

Combine like terms: -45 + 85 = 40
10p = 40

Divide each side by '10'.
p = 4

Simplifying
p = 4

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