Option (B) inverse property of addition is the property of real numbers was used to transition from Step 3 to Step 4 is the correct answer.
The inverse property of addition states that adding a number and it's opposite, called the additive inverse, will produce a sum of zero. The inverse of a number is the same number with the opposite sign.
For the given situation,
12 - 3(-2x + 4)
Step 1: 12 + (–3)·(–2x) + (–3)·(4)
Step 2: 12 + 6x + (–12)
Step 3: 12 + (–12) + 6x
Step 4: 0 + 6x
Step 5: 6x
The inverse property of addition is the property of real numbers was used to transition from Step 3 to Step 4.
By property, [tex]+a-a=0[/tex]
⇒ [tex]+12-12=0[/tex]
Hence we can conclude that option (B) inverse property of addition is the property of real numbers was used to transition from Step 3 to Step 4 is the correct answer.
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