Combine like terms to simplify the expression. \( 7 z^{5}+4-z^{5} \)
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To simplify the expression \( 7z^{5} + 4 - z^{5} \), you start by combining the like terms \( 7z^{5} \) and \( -z^{5} \). When you do that, \( 7z^{5} - z^{5} = 6z^{5} \). So, the simplified expression becomes \( 6z^{5} + 4 \). It's like turning a cluttered room into a tidy space by organizing your furniture (or, in this case, your terms)! Next time you tackle an expression, look for those like terms first! It’s like hunting for hidden treasures – you’ll often find that simplifying makes things much clearer, and you can easily spot mistakes if you start with a neat, organized approach. Remember, the math jungle can be tricky!