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Simplification in algebra is all about making an expression easier to work with. The goal is to reduce complexity while keeping the value of the expression the same. By simplifying an expression, you often make it easier to read, evaluate, and solve.

In the given example \(-14 - (-27) + 9\), we start by simplifying the expression by removing any parentheses. Removing parentheses involves changing any subtraction of a negative number into an addition. This transformation is based on the rule that subtracting a negative is the same as adding its positive equivalent. Therefore, \[-(-27)\] becomes \(+27\). After this step, the expression is simpler:

• \-14 + 27 + 9

Combining like terms involves grouping and adding or subtracting terms that have the same variables and exponents. In our particular exercise, the terms are all constants (numbers without variables).

This means we simply combine the numbers by performing basic arithmetic operations. From the example, after removing the parentheses, we need to combine \-14\ and \27\ first. Numbers are easier to handle step by step. So, for \-14 + 27\, we find that the sum is \[13\] because \[27-14 = 13\]. Now, the expression looks even simpler:

• 13 + 9

The final step in simplification involves performing basic arithmetic operations like addition and subtraction. These operations help us solve the expression completely.

After combining \-14\ and \27\ from the previous step, what remains is \13 + 9\. We now add \[13\] and \[9\] together. The result of this operation is \[13 + 9 = 22\]. So, the simplified version of the original expression \(-14 - (-27) + 9\) is \22.\
Notice that breaking the problem into smaller steps makes it easier to handle. By focusing on one operation at a time, you reduce the chance of making mistakes and can concentrate on applying each rule correctly.

Key points to remember:

• Simplify by removing parentheses.
• Combine like terms carefully.
• Perform basic arithmetic operations step by step.

Understanding these concepts will help you tackle more challenging algebraic expressions with confidence.