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How many solutions does this equation have?–6–4r+12=–4r+6

Question

How many solutions does this equation have?–6–4r+12=–4r+6

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Solution

The given equation is –6–4r+12=–4r+6.

Step 1: Simplify both sides of the equation.

On the left side, combine like terms: –6 + 12 - 4r = 6 - 4r.

Step 2: Now, compare both sides of the equation.

You can see that both sides of the equation are identical, which means the equation is true for all values of r.

Therefore, the equation has an infinite number of solutions.

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