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Solve for c. Express your answer as a proper or improper fraction in simplest terms. -3/4 = -1/3 + 1/6 c

Solve for c. Express your answer as a proper or improper fraction in simplest terms.
-3/4 = -1/3 + 1/6 c

Answer

To solve for c, follow these steps:

First, isolate the term with c by adding 1/3 to both sides:
-3/4 + 1/3 = 1/6 c
Find a common denominator for the fractions on the left side. The common denominator for 4 and 3 is 12:
-9/12 + 4/12 = 1/6 c
Simplify the left side:
-5/12 = 1/6 c
Multiply both sides by 6 to solve for c:
c = -5/12 * 6
Simplify the right side:
c = -5/2

The solution is c = -5/2.

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