(2p+3)(3.8)=(6-p)(2.4)

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Solution for (2p+3)(3.8)=(6-p)(2.4) equation: 


Simplifying
(2p + 3)(3.8) = (6 + -1p)(2.4)

Reorder the terms:
(3 + 2p)(3.8) = (6 + -1p)(2.4)

Reorder the terms for easier multiplication:
3.8(3 + 2p) = (6 + -1p)(2.4)
(3 * 3.8 + 2p * 3.8) = (6 + -1p)(2.4)
(11.4 + 7.6p) = (6 + -1p)(2.4)

Reorder the terms for easier multiplication:
11.4 + 7.6p = 2.4(6 + -1p)
11.4 + 7.6p = (6 * 2.4 + -1p * 2.4)
11.4 + 7.6p = (14.4 + -2.4p)

Solving
11.4 + 7.6p = 14.4 + -2.4p

Solving for variable 'p'.

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

Add '2.4p' to each side of the equation.
11.4 + 7.6p + 2.4p = 14.4 + -2.4p + 2.4p

Combine like terms: 7.6p + 2.4p = 10p
11.4 + 10p = 14.4 + -2.4p + 2.4p

Combine like terms: -2.4p + 2.4p = 0.0
11.4 + 10p = 14.4 + 0.0
11.4 + 10p = 14.4

Add '-11.4' to each side of the equation.
11.4 + -11.4 + 10p = 14.4 + -11.4

Combine like terms: 11.4 + -11.4 = 0.0
0.0 + 10p = 14.4 + -11.4
10p = 14.4 + -11.4

Combine like terms: 14.4 + -11.4 = 3
10p = 3

Divide each side by '10'.
p = 0.3

Simplifying
p = 0.3

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