Question

2) Direction: In the diagram below, justify each step of the equation. Statement Reason 3n - 5 = -8(6+5n) A) 3n-5=-48-40n B) 3n-43= -40n C) -43=-43n D) N=1

Answer 1

First:

Statement: 3n - 5 = -8(6 + 5n)

Reason: Given

Second:

Statement: 3n - 5 = -48 - 40n

Reason: Distributive property

Third:

Statement: 3n - 5 - 3n = -48 - 40n - 3n

Reason: Subtraction property of equality

Fourth:

Statement: 0 - 5 = -48 - 43n

Reason: Additive inverse property(left) and combine like terms(right)

Fifth:

Statement: -5 = -48 - 43n

Reason: Additive Identity property

Sixth:

Statement: - 5 + 48 = -43n - 48 + 48

Reason: Addition property of equality

Seventh:

Statement: 43 = -43n

Reason: Addition

Eight:

Statement: n = -1

Reason: Division