((1.5+2p)1.5)+1.5+1p=11.5

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Solution for ((1.5+2p)1.5)+1.5+1p=11.5 equation:


Simplifying
((1.5 + 2p) * 1.5) + 1.5 + 1p = 11.5

Reorder the terms for easier multiplication:
(1.5(1.5 + 2p)) + 1.5 + 1p = 11.5
((1.5 * 1.5 + 2p * 1.5)) + 1.5 + 1p = 11.5
((2.25 + 3p)) + 1.5 + 1p = 11.5
(2.25 + 3p) + 1.5 + 1p = 11.5

Remove parenthesis around (2.25 + 3p)
2.25 + 3p + 1.5 + 1p = 11.5

Reorder the terms:
2.25 + 1.5 + 3p + 1p = 11.5

Combine like terms: 2.25 + 1.5 = 3.75
3.75 + 3p + 1p = 11.5

Combine like terms: 3p + 1p = 4p
3.75 + 4p = 11.5

Solving
3.75 + 4p = 11.5

Solving for variable 'p'.

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

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 4p = 11.5 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 4p = 11.5 + -3.75
4p = 11.5 + -3.75

Combine like terms: 11.5 + -3.75 = 7.75
4p = 7.75

Divide each side by '4'.
p = 1.9375

Simplifying
p = 1.9375

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