Question
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a) \( 85-6+b= \) b \( 42 b-8+8= \) c \( 743+10-10= \)

Ask by Higgins Nichols. in South Africa
Feb 03,2025

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Answer

a) \( 85 - 6 + b = 79 + b \) b) \( 42b - 8 + 8 = 42b \) c) \( 743 + 10 - 10 = 743 \)

Solution

Sure, let's simplify each of the given expressions: ### a) \( 85 - 6 + b \) **Simplification:** \[ 85 - 6 + b = 79 + b \] ### b) \( 42b - 8 + 8 \) **Simplification:** \[ 42b - 8 + 8 = 42b \] *Explanation:* The \(-8\) and \(+8\) cancel each other out. ### c) \( 743 + 10 - 10 \) **Simplification:** \[ 743 + 10 - 10 = 743 \] *Explanation:* The \(+10\) and \(-10\) cancel each other out. --- **Final Answers:** a) \( 85 - 6 + b = 79 + b \) b) \( 42b - 8 + 8 = 42b \) c) \( 743 + 10 - 10 = 743 \)

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The Deep Dive

To solve \( 85 - 6 + b = 79 + b \). So, you just need to find the value of \( b \) to complete the equation! Next up, for \( 42b - 8 + 8 \), the -8 and +8 cancel each other out, simplifying down to just \( 42b \). So you can focus on solving or further manipulating that. Lastly, for \( 743 + 10 - 10 \), the +10 and -10 also cancel each other out, simplifying to \( 743 \). So, the answer remains \( 743 \). Keep practicing these, and they'll become second nature!

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