Math  /  Algebra

QuestionWhat value of aa is a solution to this equation? 4a=16+4a-4 a=16+4 a a=3a=-3 a=2a=-2
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Studdy Solution

STEP 1

1. We are given the equation 4a=16+4a-4a = 16 + 4a.
2. We need to find the value of aa that satisfies this equation.
3. We are given two potential solutions: a=3a = -3 and a=2a = -2.

STEP 2

1. Simplify the given equation.
2. Solve for aa.
3. Verify the solution with the given options.

STEP 3

Simplify the given equation by moving all terms involving aa to one side.
Subtract 4a4a from both sides of the equation:
4a4a=16+4a4a-4a - 4a = 16 + 4a - 4a
This simplifies to:
8a=16-8a = 16

STEP 4

Solve for aa by isolating it.
Divide both sides of the equation by 8-8:
a=168a = \frac{16}{-8}
Simplify the fraction:
a=2a = -2

STEP 5

Verify the solution with the given options.
The calculated solution is a=2a = -2, which matches one of the given options.
The value of aa that is a solution to the equation is:
2 \boxed{-2}

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