2p+1.50+.15(2p+1.50)=11.80

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Solution for 2p+1.50+.15(2p+1.50)=11.80 equation: 


Simplifying
2p + 1.50 + 0.15(2p + 1.50) = 11.80

Reorder the terms:
2p + 1.50 + 0.15(1.50 + 2p) = 11.80
2p + 1.50 + (1.50 * 0.15 + 2p * 0.15) = 11.80
2p + 1.50 + (0.225 + 0.3p) = 11.80

Reorder the terms:
1.50 + 0.225 + 2p + 0.3p = 11.80

Combine like terms: 1.50 + 0.225 = 1.725
1.725 + 2p + 0.3p = 11.80

Combine like terms: 2p + 0.3p = 2.3p
1.725 + 2.3p = 11.80

Solving
1.725 + 2.3p = 11.80

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 = 11.80 + -1.725

Combine like terms: 1.725 + -1.725 = 0.000
0.000 + 2.3p = 11.80 + -1.725
2.3p = 11.80 + -1.725

Combine like terms: 11.80 + -1.725 = 10.075
2.3p = 10.075

Divide each side by '2.3'.
p = 4.380434783

Simplifying
p = 4.380434783

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