asked 171k views
4 votes
5(a+6)-2(a-9)+15(a-4)=0

2 Answers

7 votes

Answer: a =
(2)/(3)

Explanation:

Use the distributive property to multiply 5 by a+6.

5a+30−2(a−9)+15(a−4)=0

Use the distributive property to multiply −2 by a−9.

5a+30−2a+18+15(a−4)=0

Combine 5a and −2a to get 3a.

3a+30+18+15(a−4)=0

Add 30 and 18 to get 48.

3a+48+15(a−4)=0

Use the distributive property to multiply 15 by a−4.

3a+48+15a−60=0

Combine 3a and 15a to get 18a.

18a+48−60=0

Subtract 60 from 48 to get −12.

18a−12=0

Add 12 to both sides. Anything plus zero gives itself.

18a=12

Divide both sides by 18.

a = 12/18

Reduce the fraction

12/18 to lowest terms by extracting and canceling out 6.

therefore, a= 2/3

answered
User Dustan
by
7.9k points
2 votes

Answer:

(5×a+ 5×6)- (2×a-2×-9)+(15×a-15×4)=0

5a+30-2a+18+15a-60=0

5a-2a+15a+30+18-60=0

18a-12=0

18a=12

18a/18=12/18

a=2/3

answered
User Eleni
by
8.1k points

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