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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    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

  2. anonymous
    • 5 years ago
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    n=6

  3. anonymous
    • 5 years ago
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    hopefuly helps you out

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