-2q+2(p+1)(1-q)+2(q-p)=(1-q)(p+2)-p(q-1)+15

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Solution for -2q+2(p+1)(1-q)+2(q-p)=(1-q)(p+2)-p(q-1)+15 equation: 


Simplifying
-2q + 2(p + 1)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
-2q + 2(1 + p)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Multiply (1 + p) * (1 + -1q)
-2q + 2(1(1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2((1 * 1 + -1q * 1) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2((1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2(1 + -1q + (1 * p + -1q * p)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2(1 + -1q + (1p + -1pq)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
-2q + 2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + (1 * 2 + 1p * 2 + -1pq * 2 + -1q * 2) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + (2 + 2p + -2pq + -2q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
-2q + 2 + 2p + -2pq + -2q + 2(-1p + q) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2 + 2p + -2pq + -2q + (-1p * 2 + q * 2) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
-2q + 2 + 2p + -2pq + -2q + (-2p + 2q) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2 + 2p + -2p + -2pq + -2q + -2q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Combine like terms: 2p + -2p = 0
2 + 0 + -2pq + -2q + -2q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2 + -2pq + -2q + -2q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Combine like terms: -2q + -2q = -4q
2 + -2pq + -4q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Combine like terms: -4q + 2q = -2q
2 + -2pq + -2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2 + -2pq + -2q = (1 + -1q)(2 + p) + -1p(q + -1) + 15

Multiply (1 + -1q) * (2 + p)
2 + -2pq + -2q = (1(2 + p) + -1q * (2 + p)) + -1p(q + -1) + 15
2 + -2pq + -2q = ((2 * 1 + p * 1) + -1q * (2 + p)) + -1p(q + -1) + 15
2 + -2pq + -2q = ((2 + 1p) + -1q * (2 + p)) + -1p(q + -1) + 15
2 + -2pq + -2q = (2 + 1p + (2 * -1q + p * -1q)) + -1p(q + -1) + 15

Reorder the terms:
2 + -2pq + -2q = (2 + 1p + (-1pq + -2q)) + -1p(q + -1) + 15
2 + -2pq + -2q = (2 + 1p + (-1pq + -2q)) + -1p(q + -1) + 15
2 + -2pq + -2q = (2 + 1p + -1pq + -2q) + -1p(q + -1) + 15

Reorder the terms:
2 + -2pq + -2q = 2 + 1p + -1pq + -2q + -1p(-1 + q) + 15
2 + -2pq + -2q = 2 + 1p + -1pq + -2q + (-1 * -1p + q * -1p) + 15
2 + -2pq + -2q = 2 + 1p + -1pq + -2q + (1p + -1pq) + 15

Reorder the terms:
2 + -2pq + -2q = 2 + 15 + 1p + 1p + -1pq + -1pq + -2q

Combine like terms: 2 + 15 = 17
2 + -2pq + -2q = 17 + 1p + 1p + -1pq + -1pq + -2q

Combine like terms: 1p + 1p = 2p
2 + -2pq + -2q = 17 + 2p + -1pq + -1pq + -2q

Combine like terms: -1pq + -1pq = -2pq
2 + -2pq + -2q = 17 + 2p + -2pq + -2q

Add '2pq' to each side of the equation.
2 + -2pq + 2pq + -2q = 17 + 2p + -2pq + 2pq + -2q

Combine like terms: -2pq + 2pq = 0
2 + 0 + -2q = 17 + 2p + -2pq + 2pq + -2q
2 + -2q = 17 + 2p + -2pq + 2pq + -2q

Combine like terms: -2pq + 2pq = 0
2 + -2q = 17 + 2p + 0 + -2q
2 + -2q = 17 + 2p + -2q

Add '2q' to each side of the equation.
2 + -2q + 2q = 17 + 2p + -2q + 2q

Combine like terms: -2q + 2q = 0
2 + 0 = 17 + 2p + -2q + 2q
2 = 17 + 2p + -2q + 2q

Combine like terms: -2q + 2q = 0
2 = 17 + 2p + 0
2 = 17 + 2p

Solving
2 = 17 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
2 + -2p = 17 + 2p + -2p

Combine like terms: 2p + -2p = 0
2 + -2p = 17 + 0
2 + -2p = 17

Add '-2' to each side of the equation.
2 + -2 + -2p = 17 + -2

Combine like terms: 2 + -2 = 0
0 + -2p = 17 + -2
-2p = 17 + -2

Combine like terms: 17 + -2 = 15
-2p = 15

Divide each side by '-2'.
p = -7.5

Simplifying
p = -7.5

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