-111.748=-5.2p-2.6(3.2p+4.5)

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Solution for -111.748=-5.2p-2.6(3.2p+4.5) equation:


Simplifying
-111.748 = -5.2p + -2.6(3.2p + 4.5)

Reorder the terms:
-111.748 = -5.2p + -2.6(4.5 + 3.2p)
-111.748 = -5.2p + (4.5 * -2.6 + 3.2p * -2.6)
-111.748 = -5.2p + (-11.7 + -8.32p)

Reorder the terms:
-111.748 = -11.7 + -5.2p + -8.32p

Combine like terms: -5.2p + -8.32p = -13.52p
-111.748 = -11.7 + -13.52p

Solving
-111.748 = -11.7 + -13.52p

Solving for variable 'p'.

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

Add '13.52p' to each side of the equation.
-111.748 + 13.52p = -11.7 + -13.52p + 13.52p

Combine like terms: -13.52p + 13.52p = 0.00
-111.748 + 13.52p = -11.7 + 0.00
-111.748 + 13.52p = -11.7

Add '111.748' to each side of the equation.
-111.748 + 111.748 + 13.52p = -11.7 + 111.748

Combine like terms: -111.748 + 111.748 = 0.000
0.000 + 13.52p = -11.7 + 111.748
13.52p = -11.7 + 111.748

Combine like terms: -11.7 + 111.748 = 100.048
13.52p = 100.048

Divide each side by '13.52'.
p = 7.4

Simplifying
p = 7.4

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