0.15(2p+1.50)+(2p+1.50)=11.50

Solution for 0.15(2p+1.50)+(2p+1.50)=11.50 equation:

Simplifying
0.15(2p + 1.50) + (2p + 1.50) = 11.50

Reorder the terms:
0.15(1.50 + 2p) + (2p + 1.50) = 11.50
(1.50 * 0.15 + 2p * 0.15) + (2p + 1.50) = 11.50
(0.225 + 0.3p) + (2p + 1.50) = 11.50

Reorder the terms:
0.225 + 0.3p + (1.50 + 2p) = 11.50

Remove parenthesis around (1.50 + 2p)
0.225 + 0.3p + 1.50 + 2p = 11.50

Reorder the terms:
0.225 + 1.50 + 0.3p + 2p = 11.50

Combine like terms: 0.225 + 1.50 = 1.725
1.725 + 0.3p + 2p = 11.50

Combine like terms: 0.3p + 2p = 2.3p
1.725 + 2.3p = 11.50

Solving
1.725 + 2.3p = 11.50

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 = 11.50 + -1.725

Combine like terms: 1.725 + -1.725 = 0.000
0.000 + 2.3p = 11.50 + -1.725
2.3p = 11.50 + -1.725

Combine like terms: 11.50 + -1.725 = 9.775
2.3p = 9.775

Divide each side by '2.3'.
p = 4.25

Simplifying
p = 4.25