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simplify the expression: -7d + 3d

Question

simplify the expression: -7d + 3d

Explanation:

Step1: Combine like terms

To simplify \(-7d + 3d\), we use the distributive property in reverse, which is \(ac + bc=(a + b)c\). Here, \(c = d\), \(a=-7\), and \(b = 3\). So we can factor out \(d\) and add the coefficients: \((-7 + 3)d\)

Step2: Calculate the coefficient

First, calculate \(-7+3\). \(-7+3=-4\). Then multiply by \(d\), so we get \(-4d\)

Answer:

\(-4d\)