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what do you notice about the expressions on each side of the equation?
the expression 2n + 6 is ? to 2(3 + n).
equivalent
not equivalent
Step1: Expand the second expression
We use the distributive property \(a(b + c)=ab+ac\). For \(2(3 + n)\), we have \(2\times3+2\times n = 6 + 2n\), which can be rewritten as \(2n+6\) (by commutative property of addition).
Step2: Compare the two expressions
The first expression is \(2n + 6\) and the expanded form of the second expression is also \(2n+6\). So they are equivalent.
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equivalent