Question

8+2/3(2n-9)=10

Answer 1

8+(2)/(3)*(2n-9)=10

Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 3.
8*(3)/(3)+(2(2n-9))/(3)=10

Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 3.
(8*3)/(3)+(2(2n-9))/(3)=10

Multiply 8 by 3 to get 24.
(24)/(3)+(2(2n-9))/(3)=10

The numerators of expressions that have equal denominators can be combined. In this case, ((24))/(3) and (2(2n-9))/(3) have the same denominator of 3, so the numerators can be combined.
((24)+2(2n-9))/(3)=10

Simplify the numerator of the expression.
(4n+6)/(3)=10

Factor out the GCF of 2 from each term in the polynomial.
(2(2n)+2(3))/(3)=10

Factor out the GCF of 2 from 4n+6.
(2(2n+3))/(3)=10

Multiply each term in the equation by 3.
(2(2n+3))/(3)*3=10*3

Simplify the left-hand side of the equation by canceling the common terms.
2(2n+3)=10*3

Multiply 10 by 3 to get 30.
2(2n+3)=30

Divide each term in the equation by 2.
(2(2n+3))/(2)=(30)/(2)

Simplify the left-hand side of the equation by canceling the common terms.
2n+3=(30)/(2)

Simplify the right-hand side of the equation by simplifying each term.
2n+3=15

Since 3 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3 from both sides.
2n=-3+15

Add 15 to -3 to get 12.
2n=12

Divide each term in the equation by 2.
(2n)/(2)=(12)/(2)

Simplify the left-hand side of the equation by canceling the common terms.
n=(12)/(2)

Simplify the right-hand side of the equation by simplifying each term.
n=6

Answer 2

n=6

Answer 3

hopefuly helps you out