Explanation:
![\tt{5z - 8 = 32}](https://img.qammunity.org/2022/formulas/mathematics/college/2oa7tjs0w9pt79umdmaas7p1yob5a9gmt8.png)
We want to remove the 8 first.
Step 1 : Since the original equation is minus 8 , we are going to use the opposite operation and add 8 to both sides.
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![\tt{5z - 8 + 8 = 32 + 8}](https://img.qammunity.org/2022/formulas/mathematics/college/djqgjqp92kcz0972e0icmy1j8zakif59xt.png)
Simplify -8 + 8 = 0 on the left. 32 + 8 = 40 on the right. Then we need to think about how to remove the coefficient 5.
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![\tt{5z = 40}](https://img.qammunity.org/2022/formulas/mathematics/college/1l9cjvrtji6bxj9m66yn0epvpcv31ynw8p.png)
Step 2 : Since the opposite of multiplication is division , we are going to divide both sides by 5.
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![\tt{ (5z)/(5) = (40)/(5)}](https://img.qammunity.org/2022/formulas/mathematics/college/onasxca1frr4mtq213ghrrd9oi8ny00i8i.png)
Simplify. 5 / 5 = 1 on the left. 40/5 = 8 on the right. So , our answer is z = 8.
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![\tt{z = 8}](https://img.qammunity.org/2022/formulas/mathematics/college/4atw03x7mt3uufkgpnip90zicsztvkj4i0.png)
![\pink{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{z = 8}}}}}}}](https://img.qammunity.org/2022/formulas/mathematics/college/w07ogyb2r4nkvced0pauulvxi39dwrdaw7.png)
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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