(1)/(2)(p+6)=(7)/(2)(3-p)

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Solution for (1)/(2)(p+6)=(7)/(2)(3-p) equation:



(1)/(2)(p+6)=(7)/(2)(3-p)
We move all terms to the left:
(1)/(2)(p+6)-((7)/(2)(3-p))=0
Domain of the equation: 2(p+6)!=0
p∈R
Domain of the equation: 2(3-p))!=0
p∈R
We add all the numbers together, and all the variables
1/2(p+6)-(7/2(-1p+3))=0
We calculate fractions
(2p(-)/(2(p+6)*2(-1p+3)))+(-14pp/(2(p+6)*2(-1p+3)))=0
We calculate terms in parentheses: +(2p(-)/(2(p+6)*2(-1p+3))), so:
2p(-)/(2(p+6)*2(-1p+3))
We add all the numbers together, and all the variables
2p0/(2(p+6)*2(-1p+3))
We multiply all the terms by the denominator
2p0
We add all the numbers together, and all the variables
2p
Back to the equation:
+(2p)
We calculate terms in parentheses: +(-14pp/(2(p+6)*2(-1p+3))), so:
-14pp/(2(p+6)*2(-1p+3))
We multiply all the terms by the denominator
-14pp
Back to the equation:
+(-14pp)
We get rid of parentheses
2p-14pp=0

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