2p+1.50+2p(.15)+1.5*.15=11.5

Solution for 2p+1.50+2p(.15)+1.5*.15=11.5 equation:

Simplifying
2p + 1.50 + 2p(0.15) + 1.5 * 0.15 = 11.5

Reorder the terms for easier multiplication:
2p + 1.50 + 2 * 0.15p + 1.5 * 0.15 = 11.5

Multiply 2 * 0.15
2p + 1.50 + 0.3p + 1.5 * 0.15 = 11.5

Multiply 1.5 * 0.15
2p + 1.50 + 0.3p + 0.225 = 11.5

Reorder the terms:
1.50 + 0.225 + 2p + 0.3p = 11.5

Combine like terms: 1.50 + 0.225 = 1.725
1.725 + 2p + 0.3p = 11.5

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

Solving
1.725 + 2.3p = 11.5

Solving for variable 'p'.

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

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

Combine like terms: 1.725 + -1.725 = 0.000
0.000 + 2.3p = 11.5 + -1.725
2.3p = 11.5 + -1.725

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

Divide each side by '2.3'.
p = 4.25

Simplifying
p = 4.25