Question

Which value of a from the set {16, 18, 20, 22} makes the equation
2(42 - a) = 48 true?

Answer 1

a is equivalent to 18.

2(42 - a) = 48
2(42) + 2(-a) = 48 *distributive property of multiplication
84 - 2a = 48
-2a = 48 - 84
-2a = -36
-2a/-2 = -36/-2
a = 18

to check:
2(42-a) = 48
2(42-18) = 48
2(24) = 48
48 = 48