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How many solutions does this equation have? 2 - 5b = -4b. a) no solution, b) one solution, c) infinitely many solutions

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Final answer:

The equation 2 - 5b = -4b has one solution.

Step-by-step explanation:

The given equation is 2 - 5b = -4b. To determine how many solutions this equation has, we can simplify and solve for b. Subtracting -4b from both sides of the equation gives us 2 - 5b + 4b = 0, which simplifies to 2 - b = 0. Adding b to both sides gives us 2 = b. Therefore, the equation has one solution.

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