20p+7-11-p=-2(2p+4)-3(2p-2)

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Solution for 20p+7-11-p=-2(2p+4)-3(2p-2) equation:


Simplifying
20p + 7 + -11 + -1p = -2(2p + 4) + -3(2p + -2)

Reorder the terms:
7 + -11 + 20p + -1p = -2(2p + 4) + -3(2p + -2)

Combine like terms: 7 + -11 = -4
-4 + 20p + -1p = -2(2p + 4) + -3(2p + -2)

Combine like terms: 20p + -1p = 19p
-4 + 19p = -2(2p + 4) + -3(2p + -2)

Reorder the terms:
-4 + 19p = -2(4 + 2p) + -3(2p + -2)
-4 + 19p = (4 * -2 + 2p * -2) + -3(2p + -2)
-4 + 19p = (-8 + -4p) + -3(2p + -2)

Reorder the terms:
-4 + 19p = -8 + -4p + -3(-2 + 2p)
-4 + 19p = -8 + -4p + (-2 * -3 + 2p * -3)
-4 + 19p = -8 + -4p + (6 + -6p)

Reorder the terms:
-4 + 19p = -8 + 6 + -4p + -6p

Combine like terms: -8 + 6 = -2
-4 + 19p = -2 + -4p + -6p

Combine like terms: -4p + -6p = -10p
-4 + 19p = -2 + -10p

Solving
-4 + 19p = -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.
-4 + 19p + 10p = -2 + -10p + 10p

Combine like terms: 19p + 10p = 29p
-4 + 29p = -2 + -10p + 10p

Combine like terms: -10p + 10p = 0
-4 + 29p = -2 + 0
-4 + 29p = -2

Add '4' to each side of the equation.
-4 + 4 + 29p = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 29p = -2 + 4
29p = -2 + 4

Combine like terms: -2 + 4 = 2
29p = 2

Divide each side by '29'.
p = 0.06896551724

Simplifying
p = 0.06896551724

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