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Sagot :

Step-by-step explanation:

[tex](-\frac{7}{2} z +4)+(\frac{1}{5} z -15)\\\\=-\frac{35}{10} z+4+\frac{2}{10}z -15\\\\=-\frac{33}{10}z -11[/tex]

Step-by-step explanation:      

Step 1: Simplify

[tex]=-\frac{7}{2}z+4+\frac{1}{5}z-15[/tex]

Step 2: Factor out common terms

[tex]=z\left(-\frac{7}{2}+\frac{1}{5}\right)+4-1[/tex]

Step 3: Simplify

[tex]=-\frac{33}{10}z+4-15[/tex]

Step 4: Subtract the numbers 4 - 15 = -11

[tex]=-\frac{33}{10}z-11[/tex]

Step 5: Simplify

[tex]=-\frac{33z}{10}-11[/tex]

 

Explanation in words:        

- To solve this equation, the first step is to simplify the equation.

- To solve this equation, the second step is to factor out the common terms in this equation

- To solve this equation, the third step is to simplify the equation from step two.

- To solve this equation, the fourth step is to subtract the numbers 4 - 15 = -11

- To solve this equation, the fifth step is to simplify the equation from step four.

 

Answer:      

[tex]=-\frac{33z}{10}-11[/tex]  

Hope this helps.