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

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


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

Combine like terms: 10 + 9 = 19
19 + -11 + -1p = -2(2p + -4) + -3(2p + -2)

Combine like terms: 19 + -11 = 8
8 + -1p = -2(2p + -4) + -3(2p + -2)

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

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

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

Combine like terms: 8 + 6 = 14
8 + -1p = 14 + -4p + -6p

Combine like terms: -4p + -6p = -10p
8 + -1p = 14 + -10p

Solving
8 + -1p = 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.
8 + -1p + 10p = 14 + -10p + 10p

Combine like terms: -1p + 10p = 9p
8 + 9p = 14 + -10p + 10p

Combine like terms: -10p + 10p = 0
8 + 9p = 14 + 0
8 + 9p = 14

Add '-8' to each side of the equation.
8 + -8 + 9p = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 9p = 14 + -8
9p = 14 + -8

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

Divide each side by '9'.
p = 0.6666666667

Simplifying
p = 0.6666666667

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