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amm1812
2 years ago
7

2-3/4z=1/8z+9 please show your steps!

Mathematics
1 answer:
SashulF [63]2 years ago
4 0
1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)

2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)

3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)

4. -6z = z + 72 - 16 (subtract 16 from both sides)

5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)

6. -6z - z = 56 (subtract z from both sides)

7. -7z = 56 (simplify -6z - z to -7z)

8. z = 56/-7 (divide both sides by -7)

9. z = -8. (simplify 56/7 to 8)

So in conclusion your answer to the equation would be -8.
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