Question

writing about creating equivalent expressions
explain how to write an equivalent expression by combining like terms.
$w + 10 + w - 4$

Explanation:

Step1: Identify like terms

Like terms are terms with the same variable (or constant terms). Here, the terms with \( w \) are \( w \) and \( w \), and the constant terms are \( 10 \) and \( -4 \).

Step2: Combine \( w \)-terms

Add the coefficients of \( w \): \( w + w = (1 + 1)w = 2w \).

Step3: Combine constant terms

Add the constant terms: \( 10 - 4 = 6 \).

Step4: Form equivalent expression

Combine the results from Step2 and Step3: \( 2w + 6 \).

Answer:

The equivalent expression is \( 2w + 6 \)