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Solve for the given variable. Record your work and check the solution, if possible.

75c-300=25c+200​

Sagot :

Answer:

10

Step-by-step explanation:

75c-300=25c+200

-25c         -25c

50c-300=200

+300         +300

50c=500

c=10

Final Answer: [tex]c = 10[/tex]

Steps/Reasons/Explanation:

Question: Solve for the given variable: [tex]75c - 300 = 25c + 200[/tex].

Step 1: Add [tex]300[/tex] to both sides.

[tex]75c = 25c + 200 + 300[/tex]

Step 2: Simplify [tex]25c + 200 + 300[/tex] to [tex]25c + 500[/tex].

[tex]75c = 25c + 500[/tex]

Step 3: Subtract [tex]25c[/tex] from both sides.

[tex]75c - 25c = 500[/tex]

Step 4: Simplify [tex]75c - 25c[/tex] to [tex]50c[/tex].

[tex]50c = 500[/tex]

Step 5: Divide both sides by [tex]50[/tex].

[tex]c = \frac{500}{50}[/tex]

Step 6: Simplify [tex]\frac{500}{50}[/tex] to [tex]10[/tex].

[tex]c = 10[/tex]

~I hope I helped you! :)~