How do you solve #6( n - 8 ) = 7 ( n - 6 ) + 5#?

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Answer 1 · 2016-10-10T23:43:30

#n= 85#

Given #6(n-8) = 7(n-6) +5#

Step 1 : Using distributive property of make the equation simpler

#6n - 6(-8) = 7n -7(6) + 5#

#6n +48 = 7n -42 + 5#

Step 2 : Combine like terms

#6n +48 = 7n - 37#

Step 3 Let's isolate the variable, using the additive property like so

#6n + 48 color(red)(-6n) = 7n - 37 color(red)(-6n)#

#48 = n -37#

#48 color(blue)(+37) = n -37 color(blue)(+37)#

#85 = n#