215.20833=7(7.66666p+.75)+2

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Solution for 215.20833=7(7.66666p+.75)+2 equation:


Simplifying
215.20833 = 7(7.66666p + 0.75) + 2

Reorder the terms:
215.20833 = 7(0.75 + 7.66666p) + 2
215.20833 = (0.75 * 7 + 7.66666p * 7) + 2
215.20833 = (5.25 + 53.66662p) + 2

Reorder the terms:
215.20833 = 5.25 + 2 + 53.66662p

Combine like terms: 5.25 + 2 = 7.25
215.20833 = 7.25 + 53.66662p

Solving
215.20833 = 7.25 + 53.66662p

Solving for variable 'p'.

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

Add '-53.66662p' to each side of the equation.
215.20833 + -53.66662p = 7.25 + 53.66662p + -53.66662p

Combine like terms: 53.66662p + -53.66662p = 0.00000
215.20833 + -53.66662p = 7.25 + 0.00000
215.20833 + -53.66662p = 7.25

Add '-215.20833' to each side of the equation.
215.20833 + -215.20833 + -53.66662p = 7.25 + -215.20833

Combine like terms: 215.20833 + -215.20833 = 0.00000
0.00000 + -53.66662p = 7.25 + -215.20833
-53.66662p = 7.25 + -215.20833

Combine like terms: 7.25 + -215.20833 = -207.95833
-53.66662p = -207.95833

Divide each side by '-53.66662'.
p = 3.875003307

Simplifying
p = 3.875003307

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