-3(9P-23)=4P-8(7P-54)

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Solution for -3(9P-23)=4P-8(7P-54) equation: 


Simplifying
-3(9P + -23) = 4P + -8(7P + -54)

Reorder the terms:
-3(-23 + 9P) = 4P + -8(7P + -54)
(-23 * -3 + 9P * -3) = 4P + -8(7P + -54)
(69 + -27P) = 4P + -8(7P + -54)

Reorder the terms:
69 + -27P = 4P + -8(-54 + 7P)
69 + -27P = 4P + (-54 * -8 + 7P * -8)
69 + -27P = 4P + (432 + -56P)

Reorder the terms:
69 + -27P = 432 + 4P + -56P

Combine like terms: 4P + -56P = -52P
69 + -27P = 432 + -52P

Solving
69 + -27P = 432 + -52P

Solving for variable 'P'.

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

Add '52P' to each side of the equation.
69 + -27P + 52P = 432 + -52P + 52P

Combine like terms: -27P + 52P = 25P
69 + 25P = 432 + -52P + 52P

Combine like terms: -52P + 52P = 0
69 + 25P = 432 + 0
69 + 25P = 432

Add '-69' to each side of the equation.
69 + -69 + 25P = 432 + -69

Combine like terms: 69 + -69 = 0
0 + 25P = 432 + -69
25P = 432 + -69

Combine like terms: 432 + -69 = 363
25P = 363

Divide each side by '25'.
P = 14.52

Simplifying
P = 14.52

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