Intermediate Algebra: Connecting Concepts through Application

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The rational expressions have the same denominator so they are similar. Subtract the numerators and copy the denominator to obtain: $=\dfrac{(m+7)-(4m+22)}{m+5}$ Subtract each term of the subtrahend to obtain: $=\dfrac{m+7-4m-22}{m+5} \\=\dfrac{-3m-15}{m+5}$ Factor out $-3$ in the numerator to obtain: $\\=\dfrac{-3(m+5)}{m+5}$ Cancel the common factors to obtain: $\\=\color{blue}{-3}$