# Solve for n -2.5=(n+7.34)/-6

-2.5=n+7.34-6
Rewrite the equation as n+7.34-6=-2.5.
n+7.34-6=-2.5
Multiply both sides of the equation by -6.
-6⋅n+7.34-6=-6⋅-2.5
Simplify both sides of the equation.
Simplify -6⋅n+7.34-6.
Cancel the common factor of 6.
Factor 6 out of -6.
6(-1)⋅n+7.34-6=-6⋅-2.5
Factor 6 out of -6.
6⋅-1⋅n+7.346⋅-1=-6⋅-2.5
Cancel the common factor.
6⋅-1⋅n+7.346⋅-1=-6⋅-2.5
Rewrite the expression.
-1⋅n+7.34-1=-6⋅-2.5
-1⋅n+7.34-1=-6⋅-2.5
Simplify the expression.
Move the negative one from the denominator of n+7.34-1.
-1⋅(-1⋅(n+7.34))=-6⋅-2.5
Rewrite -1⋅(n+7.34) as -(n+7.34).
-1⋅(-(n+7.34))=-6⋅-2.5
-1⋅(-(n+7.34))=-6⋅-2.5
Apply the distributive property.
-1⋅(-n-1⋅7.34)=-6⋅-2.5
Multiply -1 by 7.34.
-1⋅(-n-7.34)=-6⋅-2.5
Apply the distributive property.
-1(-n)-1⋅-7.34=-6⋅-2.5
Multiply -1(-n).
Multiply -1 by -1.
1n-1⋅-7.34=-6⋅-2.5
Multiply n by 1.
n-1⋅-7.34=-6⋅-2.5
n-1⋅-7.34=-6⋅-2.5
Multiply -1 by -7.34.
n+7.34=-6⋅-2.5
n+7.34=-6⋅-2.5
Multiply -6 by -2.5.
n+7.34=15
n+7.34=15
Move all terms not containing n to the right side of the equation.
Subtract 7.34 from both sides of the equation.
n=15-7.34
Subtract 7.34 from 15.
n=7.66
n=7.66
Solve for n -2.5=(n+7.34)/-6

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