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Answer :

Susphogo

Answer:

z = 1.8

Step-by-step explanation:

What is the solution to the equation 7.5z−3=10.5?

7.5z - 3 = 10.5

7.5z = 13.5

z = 13.5 : 7.5

z = 1.8

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check

7.5 * 1.8 - 3 = 10.5

13.5 - 3 = 10.5

10.5 = 10.5

the answer is good

Xignersogo

Combine multiplied terms into a single fraction

[tex]7.5z - 3 = 10.5[/tex]

[tex]\frac{15z}{2} - 3 = 10.5[/tex]

Find common denominator

[tex]\frac{15z}{2} - 3 = 10.5[/tex]

[tex] \frac{15z}{2} + \frac{2( - 3)}{2} = 10.5 [/tex]

Combine fractions with common denominator

[tex] \frac{15z}{2} + \frac{2( - 3)}{2} = 10.5 [/tex]

[tex] \frac{5z + 2( - 3)}{2} = 10.5[/tex]

[tex]z = 1.8[/tex]

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