(p-(p-q))-[p-(q-p)]+[q-(p-2q)]=

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Solution for (p-(p-q))-[p-(q-p)]+[q-(p-2q)]= equation:


Simplifying
(p + -1(p + -1q)) + -1[p + -1(q + -1p)] + [q + -1(p + -2q)] = 0
(p + (p * -1 + -1q * -1)) + -1[p + -1(q + -1p)] + [q + -1(p + -2q)] = 0
(p + (-1p + 1q)) + -1[p + -1(q + -1p)] + [q + -1(p + -2q)] = 0

Combine like terms: p + -1p = 0
(0 + 1q) + -1[p + -1(q + -1p)] + [q + -1(p + -2q)] = 0
(1q) + -1[p + -1(q + -1p)] + [q + -1(p + -2q)] = 0
(1q) + -1[p + -1(q + -1p)] + [q + -1(p + -2q)] = 0

Reorder the terms:
(1q) + -1[p + -1(-1p + q)] + [q + -1(p + -2q)] = 0
(1q) + -1[p + (-1p * -1 + q * -1)] + [q + -1(p + -2q)] = 0
(1q) + -1[p + (1p + -1q)] + [q + -1(p + -2q)] = 0

Combine like terms: p + 1p = 2p
(1q) + -1[2p + -1q] + [q + -1(p + -2q)] = 0
(1q) + [2p * -1 + -1q * -1] + [q + -1(p + -2q)] = 0
(1q) + [-2p + 1q] + [q + -1(p + -2q)] = 0
(1q) + -2p + 1q + [q + (p * -1 + -2q * -1)] = 0
(1q) + -2p + 1q + [q + (-1p + 2q)] = 0

Reorder the terms:
(1q) + -2p + 1q + [-1p + q + 2q] = 0

Combine like terms: q + 2q = 3q
(1q) + -2p + 1q + [-1p + 3q] = 0

Remove brackets around [-1p + 3q]
(1q) + -2p + 1q + -1p + 3q = 0

Reorder the terms:
-2p + -1p + (1q) + 1q + 3q = 0

Combine like terms: -2p + -1p = -3p
-3p + (1q) + 1q + 3q = 0

Combine like terms: (1q) + 1q = 2q
-3p + 2q + 3q = 0

Combine like terms: 2q + 3q = 5q
-3p + 5q = 0

Solving
-3p + 5q = 0

Solving for variable 'p'.

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

Add '-5q' to each side of the equation.
-3p + 5q + -5q = 0 + -5q

Combine like terms: 5q + -5q = 0
-3p + 0 = 0 + -5q
-3p = 0 + -5q
Remove the zero:
-3p = -5q

Divide each side by '-3'.
p = 1.666666667q

Simplifying
p = 1.666666667q

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