Identify the mathematical property, operation, or idea that justifies each sequence of expressions below. then find the value of the expression.
a.
7⋅2+4−2(7+3)
7⋅2+4−2(7)−2(3)
7⋅2−7(2)+4−2(3)
b.
6⋅3+3⋅4−8
18+12−8
18−8+12
c.
3^2+5(1−3)+4⋅5+1
3^2+4⋅5+1+5(−2)
9+20+1−10
d.
(8+(−12))+10+2
8+(−12+10+2)

a) Distributive Property of Multiplication, b) Prioritizing the multiplication, c) Solving the Parentheses first and Reordering the expression d) Grouping the numbers that cancel each other

Step-by-step explanation:

On these expressions below, we have some ways to proceed with this resolution.

a) Distributive Property on Multiplication made possible the distribution of factor -2 (line 1)

b) Prioritizing the multiplication on line 1. By following the PEMDA acronym.

Parentheses, Exponents, Multiplication, Division, Adition.

c) Solve the Parentheses first and Reorder the expression

d) Grouping the numbers that cancel each other

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3