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The following equation is an example of a literal equation: 2(x + a) = 45. Solve the given equation for the variable c.

a. c = \frac{45 - 2a}{2}
b. c = \frac{45}{2} - a
c. c = 22.5 - a
d. c = 45 - 2a

1 Answer

5 votes

inal answer:

The student likely mistyped their question, which should have asked to solve for x instead of c in the equation 2(x + a) = 45. Solving for x involves distributing the 2 and then isolating x by subtracting 2a and dividing by 2, resulting in x = (45 - 2a)/2.

Step-by-step explanation:

The question presents a literal equation, 2(x + a) = 45, and requires solving for the variable c. However, there might be a typo since c is not in the equation. Assuming that we need to solve for x instead, we would first distribute the 2 in the parenthesis and get 2x + 2a = 45. Then, to solve for x, we would subtract 2a from both sides of the equation and divide by 2, yielding x = (45 - 2a)/2. This process demonstrates solving linear equations and manipulating equations to isolate a desired variable.

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