What is the value of a if (2a+3)−(4a−8)=7? Record all of your steps below. Then state the solution for a and justify why it is correct.

A=2

Step-by-step :

2a+3−(4a−8)=7

2a+3+−1(4a−8)=7 (Distribute the Negative Sign)

2a+3+−1(4a)+(−1)(−8)=7

2a+3+−4a+8=7

(2a+−4a)+(3+8)=7 (Combine Like Terms)

−2a+11=7

−2a+11=7

Step 2: Subtract 11 from both sides.

−2a+11−11=7−11

−2a=−4

Step 3: Divide both sides by -2.

−2a −2 = −4 −2

a=2

Given the ratio 30 : 12 ( divide both parts by 6 )

= 5 : 2

Given the ratio

40 : 16 ( divide both parts by 8 )

= 5 : 2

Thus the 2 ratios are equivalent and simplify to 5 : 2

Step-by-step explanation: