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VARVARA [1.3K]
3 years ago
9

What is the value of a? 14 – 2a = 4a – 16

Mathematics
2 answers:
VladimirAG [237]3 years ago
3 0
14 - 2x = 4a - 16

First, add 2a to both sides. / Your problem should look like: 14 = 4a - 16 + 2a
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like: 14 = 6a - 16
Third, add 16 to both sides. / Your problem should look like: 14 + 16 = 6a
Fourth, add 14 + 16 to get 30. / Your problem should look like: 30 = 6a
Fifth, divide both sides by 6. / Your problem should look like: \frac{30}{6}  = a
Sixth, 6 goes into 5 to get 30, so simplify \frac{30}{6} to 5. / Your problem should look like: 5 = a
Seventh, switch your sides. / Your problem should look like: a = 5

Answer: a = 5
fiasKO [112]3 years ago
3 0

14−2a=4a−16

14+−2a=4a+−16

−2a+14=4a−16

Subtract 4a from both sides.

−2a+14−4a=4a−16−4a

−6a+14=−16

Subtract 14 from both sides.

−6a+14−14=−16−14

−6a=−30

Divide both sides by -6.

−6a/−6=−30/−6

a=5

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