5(n-110)=12

Apply the distributive property.

5n+5(-110)=12

Cancel the common factor of 5.

Move the leading negative in -110 into the numerator.

5n+5(-110)=12

Factor 5 out of 10.

5n+5-15(2)=12

Cancel the common factor.

5n+5-15⋅2=12

Rewrite the expression.

5n+-12=12

5n+-12=12

Move the negative in front of the fraction.

5n-12=12

5n-12=12

Divide each term in 5n-12=12 by 5.

5n-125=12⋅15

Simplify 5n-125.

Simplify the numerator.

To write 5n as a fraction with a common denominator, multiply by 22.

5n⋅22-125=12⋅15

Combine 5n and 22.

5n⋅22-125=12⋅15

Combine the numerators over the common denominator.

5n⋅2-125=12⋅15

Multiply 2 by 5.

10n-125=12⋅15

10n-125=12⋅15

Multiply the numerator by the reciprocal of the denominator.

10n-12⋅15=12⋅15

Multiply 10n-12⋅15.

Multiply 10n-12 and 15.

10n-12⋅5=12⋅15

Multiply 2 by 5.

10n-110=12⋅15

10n-110=12⋅15

10n-110=12⋅15

Multiply 12⋅15.

Multiply 12 and 15.

10n-110=12⋅5

Multiply 2 by 5.

10n-110=110

10n-110=110

10n-110=110

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

10n-1=1

Add 1 to both sides of the equation.

10n=1+1

Add 1 and 1.

10n=2

10n=2

Divide each term in 10n=2 by 10.

10n10=210

Cancel the common factor of 10.

Cancel the common factor.

10n10=210

Divide n by 1.

n=210

n=210

Cancel the common factor of 2 and 10.

Factor 2 out of 2.

n=2(1)10

Cancel the common factors.

Factor 2 out of 10.

n=2⋅12⋅5

Cancel the common factor.

n=2⋅12⋅5

Rewrite the expression.

n=15

n=15

n=15

n=15

The result can be shown in multiple forms.

Exact Form:

n=15

Decimal Form:

n=0.2

Solve for n 5(n-1/10)=1/2