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How many solutions does this equation have?\newline3h=−h+4h3h = -h + 4h

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Full solution

Q. How many solutions does this equation have?\newline3h=−h+4h3h = -h + 4h
  1. Combine like terms: Simplify the right side of the equation by combining like terms. \newline−h+4h-h + 4h \newline=(−1+4)h= (-1 + 4)h \newline=3h= 3h
  2. Determine number of solutions: Now the equation is 3h=3h3h = 3h. Determine how many solutions this equation has.\newlineSince 3h=3h3h = 3h is true for every value of hh, the equation has an infinite number of solutions.

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