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

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


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

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

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

Reorder the terms:
9 + -1p = -2(4 + 2p) + -3(2p + -2)
9 + -1p = (4 * -2 + 2p * -2) + -3(2p + -2)
9 + -1p = (-8 + -4p) + -3(2p + -2)

Reorder the terms:
9 + -1p = -8 + -4p + -3(-2 + 2p)
9 + -1p = -8 + -4p + (-2 * -3 + 2p * -3)
9 + -1p = -8 + -4p + (6 + -6p)

Reorder the terms:
9 + -1p = -8 + 6 + -4p + -6p

Combine like terms: -8 + 6 = -2
9 + -1p = -2 + -4p + -6p

Combine like terms: -4p + -6p = -10p
9 + -1p = -2 + -10p

Solving
9 + -1p = -2 + -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.
9 + -1p + 10p = -2 + -10p + 10p

Combine like terms: -1p + 10p = 9p
9 + 9p = -2 + -10p + 10p

Combine like terms: -10p + 10p = 0
9 + 9p = -2 + 0
9 + 9p = -2

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

Combine like terms: 9 + -9 = 0
0 + 9p = -2 + -9
9p = -2 + -9

Combine like terms: -2 + -9 = -11
9p = -11

Divide each side by '9'.
p = -1.222222222

Simplifying
p = -1.222222222

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