3.25p+4(.75p-12)=79.25

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Solution for 3.25p+4(.75p-12)=79.25 equation: 


Simplifying
3.25p + 4(0.75p + -12) = 79.25

Reorder the terms:
3.25p + 4(-12 + 0.75p) = 79.25
3.25p + (-12 * 4 + 0.75p * 4) = 79.25
3.25p + (-48 + 3p) = 79.25

Reorder the terms:
-48 + 3.25p + 3p = 79.25

Combine like terms: 3.25p + 3p = 6.25p
-48 + 6.25p = 79.25

Solving
-48 + 6.25p = 79.25

Solving for variable 'p'.

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

Add '48' to each side of the equation.
-48 + 48 + 6.25p = 79.25 + 48

Combine like terms: -48 + 48 = 0
0 + 6.25p = 79.25 + 48
6.25p = 79.25 + 48

Combine like terms: 79.25 + 48 = 127.25
6.25p = 127.25

Divide each side by '6.25'.
p = 20.36

Simplifying
p = 20.36

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