10p+9-11-p=-2(2p+4)-3(-6+8n)+3

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Solution for 10p+9-11-p=-2(2p+4)-3(-6+8n)+3 equation:


Simplifying
10p + 9 + -11 + -1p = -2(2p + 4) + -3(-6 + 8n) + 3

Reorder the terms:
9 + -11 + 10p + -1p = -2(2p + 4) + -3(-6 + 8n) + 3

Combine like terms: 9 + -11 = -2
-2 + 10p + -1p = -2(2p + 4) + -3(-6 + 8n) + 3

Combine like terms: 10p + -1p = 9p
-2 + 9p = -2(2p + 4) + -3(-6 + 8n) + 3

Reorder the terms:
-2 + 9p = -2(4 + 2p) + -3(-6 + 8n) + 3
-2 + 9p = (4 * -2 + 2p * -2) + -3(-6 + 8n) + 3
-2 + 9p = (-8 + -4p) + -3(-6 + 8n) + 3
-2 + 9p = -8 + -4p + (-6 * -3 + 8n * -3) + 3
-2 + 9p = -8 + -4p + (18 + -24n) + 3

Reorder the terms:
-2 + 9p = -8 + 18 + 3 + -24n + -4p

Combine like terms: -8 + 18 = 10
-2 + 9p = 10 + 3 + -24n + -4p

Combine like terms: 10 + 3 = 13
-2 + 9p = 13 + -24n + -4p

Solving
-2 + 9p = 13 + -24n + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-2 + 9p + 4p = 13 + -24n + -4p + 4p

Combine like terms: 9p + 4p = 13p
-2 + 13p = 13 + -24n + -4p + 4p

Combine like terms: -4p + 4p = 0
-2 + 13p = 13 + -24n + 0
-2 + 13p = 13 + -24n

Add '2' to each side of the equation.
-2 + 2 + 13p = 13 + 2 + -24n

Combine like terms: -2 + 2 = 0
0 + 13p = 13 + 2 + -24n
13p = 13 + 2 + -24n

Combine like terms: 13 + 2 = 15
13p = 15 + -24n

Divide each side by '13'.
p = 1.153846154 + -1.846153846n

Simplifying
p = 1.153846154 + -1.846153846n

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