10p+9-11-p=-2(2p+4)-3(2p+2)

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Solution for 10p+9-11-p=-2(2p+4)-3(2p+2) equation:


Simplifying
10p + 9 + -11 + -1p = -2(2p + 4) + -3(2p + 2)

Reorder the terms:
9 + -11 + 10p + -1p = -2(2p + 4) + -3(2p + 2)

Combine like terms: 9 + -11 = -2
-2 + 10p + -1p = -2(2p + 4) + -3(2p + 2)

Combine like terms: 10p + -1p = 9p
-2 + 9p = -2(2p + 4) + -3(2p + 2)

Reorder the terms:
-2 + 9p = -2(4 + 2p) + -3(2p + 2)
-2 + 9p = (4 * -2 + 2p * -2) + -3(2p + 2)
-2 + 9p = (-8 + -4p) + -3(2p + 2)

Reorder the terms:
-2 + 9p = -8 + -4p + -3(2 + 2p)
-2 + 9p = -8 + -4p + (2 * -3 + 2p * -3)
-2 + 9p = -8 + -4p + (-6 + -6p)

Reorder the terms:
-2 + 9p = -8 + -6 + -4p + -6p

Combine like terms: -8 + -6 = -14
-2 + 9p = -14 + -4p + -6p

Combine like terms: -4p + -6p = -10p
-2 + 9p = -14 + -10p

Solving
-2 + 9p = -14 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
-2 + 9p + 10p = -14 + -10p + 10p

Combine like terms: 9p + 10p = 19p
-2 + 19p = -14 + -10p + 10p

Combine like terms: -10p + 10p = 0
-2 + 19p = -14 + 0
-2 + 19p = -14

Add '2' to each side of the equation.
-2 + 2 + 19p = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 19p = -14 + 2
19p = -14 + 2

Combine like terms: -14 + 2 = -12
19p = -12

Divide each side by '19'.
p = -0.6315789474

Simplifying
p = -0.6315789474

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