n(q)=100+36q-4Q-(80-12q)

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Solution for n(q)=100+36q-4Q-(80-12q) equation: 


Simplifying
n(q) = 100 + 36q + -4Q + -1(80 + -12q)

Multiply n * q
nq = 100 + 36q + -4Q + -1(80 + -12q)
nq = 100 + 36q + -4Q + (80 * -1 + -12q * -1)
nq = 100 + 36q + -4Q + (-80 + 12q)

Reorder the terms:
nq = 100 + -80 + -4Q + 36q + 12q

Combine like terms: 100 + -80 = 20
nq = 20 + -4Q + 36q + 12q

Combine like terms: 36q + 12q = 48q
nq = 20 + -4Q + 48q

Solving
nq = 20 + -4Q + 48q

Solving for variable 'n'.

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

Divide each side by 'q'.
n = 20q-1 + -4q-1Q + 48

Simplifying
n = 20q-1 + -4q-1Q + 48

Reorder the terms:
n = 48 + 20q-1 + -4q-1Q

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