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How many solutions does this equation have?\newline8t=5t+3t8t = 5t + 3t

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Full solution

Q. How many solutions does this equation have?\newline8t=5t+3t8t = 5t + 3t
  1. Combine like terms: Simplify the right side of the equation by combining like terms. \newline5t+3t5t + 3t \newline= (5+3)t(5+3)t \newline= 8t8t
  2. Identify number of solutions: Now the equation is 8t=8t8t = 8t. How many solutions does this equation have? Since 8t=8t8t = 8t is true for every value of tt, the equation has an infinite number of solutions.

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