3(4-5p)+2(5p+2)=3+p

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Solution for 3(4-5p)+2(5p+2)=3+p equation: 


Simplifying
3(4 + -5p) + 2(5p + 2) = 3 + p
(4 * 3 + -5p * 3) + 2(5p + 2) = 3 + p
(12 + -15p) + 2(5p + 2) = 3 + p

Reorder the terms:
12 + -15p + 2(2 + 5p) = 3 + p
12 + -15p + (2 * 2 + 5p * 2) = 3 + p
12 + -15p + (4 + 10p) = 3 + p

Reorder the terms:
12 + 4 + -15p + 10p = 3 + p

Combine like terms: 12 + 4 = 16
16 + -15p + 10p = 3 + p

Combine like terms: -15p + 10p = -5p
16 + -5p = 3 + p

Solving
16 + -5p = 3 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
16 + -5p + -1p = 3 + p + -1p

Combine like terms: -5p + -1p = -6p
16 + -6p = 3 + p + -1p

Combine like terms: p + -1p = 0
16 + -6p = 3 + 0
16 + -6p = 3

Add '-16' to each side of the equation.
16 + -16 + -6p = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -6p = 3 + -16
-6p = 3 + -16

Combine like terms: 3 + -16 = -13
-6p = -13

Divide each side by '-6'.
p = 2.166666667

Simplifying
p = 2.166666667

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