11.5=2p+1.5+0.15(1.5+2p)

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Solution for 11.5=2p+1.5+0.15(1.5+2p) equation: 


Simplifying
11.5 = 2p + 1.5 + 0.15(1.5 + 2p)
11.5 = 2p + 1.5 + (1.5 * 0.15 + 2p * 0.15)
11.5 = 2p + 1.5 + (0.225 + 0.3p)

Reorder the terms:
11.5 = 1.5 + 0.225 + 2p + 0.3p

Combine like terms: 1.5 + 0.225 = 1.725
11.5 = 1.725 + 2p + 0.3p

Combine like terms: 2p + 0.3p = 2.3p
11.5 = 1.725 + 2.3p

Solving
11.5 = 1.725 + 2.3p

Solving for variable 'p'.

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

Add '-2.3p' to each side of the equation.
11.5 + -2.3p = 1.725 + 2.3p + -2.3p

Combine like terms: 2.3p + -2.3p = 0.0
11.5 + -2.3p = 1.725 + 0.0
11.5 + -2.3p = 1.725

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -2.3p = 1.725 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -2.3p = 1.725 + -11.5
-2.3p = 1.725 + -11.5

Combine like terms: 1.725 + -11.5 = -9.775
-2.3p = -9.775

Divide each side by '-2.3'.
p = 4.25

Simplifying
p = 4.25

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