Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Solving Simple Equations
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Exercise 10 Page 8

n=-1, see solution.

Practice makes perfect

To solve the given equation for n, we need to isolate it by adding 6 to both sides of the equation. We want to add 6 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Addition Property of Equality.

n-6=-7
n-6+6=-7+6
n=-1

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-6=-7
-1-6? =-7
-7=-7 ✓

Since substituting n=-1 resulted in an identity, our solution is correct.