6p(-x)=6[9ln(-x)-6]

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Solution for 6p(-x)=6[9ln(-x)-6] equation:


Simplifying
6p(-1x) = 6[9ln(-1x) + -6]

Remove parenthesis around (-1x)
6p * -1x = 6[9ln(-1x) + -6]

Reorder the terms for easier multiplication:
6 * -1p * x = 6[9ln(-1x) + -6]

Multiply 6 * -1
-6p * x = 6[9ln(-1x) + -6]

Multiply p * x
-6px = 6[9ln(-1x) + -6]

Remove parenthesis around (-1x)
-6px = 6[9ln * -1x + -6]

Reorder the terms for easier multiplication:
-6px = 6[9 * -1ln * x + -6]

Multiply 9 * -1
-6px = 6[-9ln * x + -6]

Multiply ln * x
-6px = 6[-9lnx + -6]

Reorder the terms:
-6px = 6[-6 + -9lnx]
-6px = [-6 * 6 + -9lnx * 6]
-6px = [-36 + -54lnx]

Solving
-6px = -36 + -54lnx

Solving for variable 'p'.

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

Divide each side by '-6x'.
p = 6x-1 + 9ln

Simplifying
p = 6x-1 + 9ln

Reorder the terms:
p = 9ln + 6x-1

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