Algebra Property for each step

Question

4n +(7 +n)=52

4n +(n+7)=52

(4n + n)+ 7=52

5n+7=52

5n+7-7=52-7

5n=45

5n/5=45/5

n=9

Answer 1

7+n = n+7 commutative property of addition

4n+ (n+7) = (4n+n)+7 associative property of addition

4n+n = 5n

n(4+1) = 4n+n distributive property

5n = (4+1)n substitutiion property

n(5)=5n commutative property of multiplication

5n+7=52

5n+7-7=52-7 subtraction property of equality

7-7= 0 additive inverse

5n+0=5n additive identity, substitution property of equality subtitute 0 for 7-7

5n/5 =45/5 division property of equality

5n/5 = (5/5)n = (1)n = n substitution property of equality, 1 for 5/5

(1)n = n multiplicative identity

n=9 closure of real numbers

Answer 2

4n +(7 +n)=52

4n +(n+7)=52 Commutative of Addition

(4n + n)+ 7=52 Associative of Addition

5n+7=52 Additive of Real Numbers

5n+7-7=52-7 Subtrative of Equality

5n=45 Additive of Real Numbers

5n/5=45/5 Multiplicative of Equality

n=9 Closure of Real Numbers