Question

What is the value of c? ​ −1.6(2c+12)=12 ​ Enter your answer in the box. c =

This is worth 100 points !

SHOW YOUR WORK!

Answer 1

C=-39/4=-9.75

Explanation:

Isolate c on one side of the equation.

-1.6(2c+12)=12

-1.6(2c+12)*10=12*10 (First, multiply by 10 from both sides.)

12*10 (Solve.)

12*10=120

-16(2c+12)=120

-16(2c+12)/-16=120/-16 (Divide by -16 from both sides.)

120/-16 (Solve.)

120/-16=-15/2

2c+12=-15/2

2c+12-12=-15/2-12 (Subtract by 12 from both sides.)

-15/2-12 (Solve.)

-15/2-12=-39/2

2c=-39/2

2c/2=-39/2/2 (Then, divide by 2 from both sides.)

-39/2/2 (Solve.)

2*2=4

-39/4=-9.75

x=-39/4=-9.75

In conclusion, the final answer is x=-39/4=-9.75.

Answer 2

c = - 9.75

Explanation:

Given

- 1.6(2c + 12) = 12 ← distribute parenthesis on left side by - 1.6

- 3.2c - 19.2 = 12 ( add 19.2 to both sides )

- 3.2c = 31.2 ( divide both sides by - 3.2 )

c = - 9.75