when solving an equation, coreys first step is shown below. which property justifies coreys first…

when solving an equation, coreys first step is shown below. which property justifies coreys first step?\noriginal equation:\n$7x^{2}+(2x^{2}+6)=-10x^{2}-7$\nfirst step:\n$9x^{2}+6=-10x^{2}-7$\nanswer\ncommutative property of addition\nassociative property of addition\ndistributive property of multiplication over addition\nsubtraction property of equality\nsubmit answer

when solving an equation, coreys first step is shown below. which property justifies coreys first step?\noriginal equation:\n$7x^{2}+(2x^{2}+6)=-10x^{2}-7$\nfirst step:\n$9x^{2}+6=-10x^{2}-7$\nanswer\ncommutative property of addition\nassociative property of addition\ndistributive property of multiplication over addition\nsubtraction property of equality\nsubmit answer

Answer

Brief Explanations:

The associative property of addition states that for any real numbers (a), (b), and (c), ((a + b)+c=a+(b + c)). In the original equation (7x^{2}+(2x^{2}+6)=-10x^{2}-7), Corey grouped ((7x^{2}+2x^{2})+6) (by the associative property of addition) to get (9x^{2}+6=-10x^{2}-7). The commutative property of addition is about the order of addition ((a + b=b + a)), the distributive property is about (a(b + c)=ab+ac), and the subtraction property of equality is about (a=b) implies (a - c=b - c).

Answer:

associative property of addition