Exercise 1 Page 4

To solve the given equation for n, we need to isolate it by subtracting 3 from both sides of the equation. We want to subtract 3 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Subtraction Property of Equality.

n+3=-7

SubEqn

LHS-3=RHS-3

n+3-3=-7-3

SubTerms

Subtract terms

n=-10

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct.

n+3=-7

Substitute

n= - 10

- 10+3? =-7

AddTerms

Add terms

-7=-7 ✓

Since substituting n=-10 resulted in an identity, our solution is correct.