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Tanya [424]
4 years ago
13

19. 2=5(5z-2)-9(3z-2)

Mathematics
2 answers:
bekas [8.4K]4 years ago
6 0

Answer:

Step-by-step explanation:

2 = 5(5z - 2) - 9(3z - 2)

2 = 5*5z - 5*2 - 9 * 3z - 9 *(-2)

2 = 25z - 10 - 27z + 18

25z - 27z  + 18 - 10 = 2

25z - 27z = 2 + 10 - 18

-2z = -6

z = -6/-2

z = 3

Akimi4 [234]4 years ago
4 0

Answer:

z = 3

Step-by-step explanation:

Simplify,

2 = 5(5z - 2) - 9(3z - 2) \\ 2 = (5)(5z) + (5)( - 2) + ( - 9)(3z) + ( - 9)( - 2) \\ 2 = 25z + ( - 10) + ( - 27z) + 18 \\ 2 = 25z + ( - 27z) + ( - 10 + 18)

Combine like terms,

2 = ( - 2z) + 8

Flip the equation,

- 2z + 8 = 2

Subsract 8 by both sides

- 2z + 8( - 8) = 2( - 8) \\  - 2z =  - 6

Divide both sides by - 2,

- 2z \div  - 2 =  - 6 \div  - 2 \\ z = 3

Hope this will help you :))

Brainliest would be appreciated :))

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