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jok3333 [9.3K]
2 years ago
10

3(5z-7) - 2 (9z-11) = 4 (8z-13) - 17

Mathematics
2 answers:
Aneli [31]2 years ago
7 0
Answer: z = 2

Step-by-Step Explanation:

3(5z - 7) - 2(9z - 11) = 4(8z - 13) - 17
15z - 21 - 2(9z - 11) = 4(8z - 13) - 17
15z - 21 - 18z + 22 = 4(8z - 13) - 17
15z - 21 - 18z + 22 = 32z - 52 - 17
-3z - 21 + 22 = 32z - 52 - 17
-3z - 32z - 21 + 22 = -52 - 17
-35z - 21 + 22 = -52 - 17
-35z - 21 + 22 = -69
-35z + 22 = -69 + 21
-35z + 22 = -48
-35z = -48 - 22
-35z = -70
35z = 70
z = 70/35
=> z = 2

Hence, z = 2
PolarNik [594]2 years ago
3 0
Answer Z=2
The math …..
Multiple ( ) first
15z -21 -18z +22 = 32z - 52 -17
Combine like terms
-3z + 1 = 32z -69
Move like terms to isolate Z
-35z = -70 two negative make positive
35z = 70
Divide both sides by 35 to isolate Z
Z = 2
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