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question when solving an equation, kevins first step is shown below. which property justifies kevins first step? original equation: -5x· - 2=-2 first step: -5· - 2x=-2 answer associative property of addition distributive property of multiplication over addition commutative property of multiplication multiplication property of equality
The commutative property of multiplication states that for any real - numbers \(a\) and \(b\), \(a\times b=b\times a\). In the original equation \(-5x\cdot - 2=-2\), and the first step \(-5\cdot - 2x=-2\), the order of multiplication of \(-5\) and \(x\) is changed, which is an application of the commutative property of multiplication.
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commutative property of multiplication