It's rare to see an equation with two equals signs. I'm guessing something else went in between 3z and 9.
3z + 9 = 15, then z = 2
3z - 9 = 15, then z = 8
3z x 9 = 15, then z = 5/9
3z/9 = 15, then z = 45
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15 = 3z - 6 15 + 6 = 3z 3z = 21 z = 7
Collect all the letters on one side and the numbers on the other; what you do to one side of the equals you do to the other: 3z + 2 = 6z - 13 → 3z +2 - 3z = 6z - 13 - 3z → 2 = 3z - 13 → 2 + 13 = 3z - 13 + 13 → 15 = 3z → 3z = 15 (this is just changing the equals around so that the letter is on the left) → 3z ÷ 3 = 15 ÷ 5 → z = 5
-47 + 6z = 3z-2-3z -3z-47 + 3z = -2+47 +473z = 45/3 /3z = 15
-3z - 9 = 24 ⇒ -3z -33 = 0 (subtract 24 from both sides) ⇒ -33 = 3z (add 3z to both sides) ⇒ -11 = z (divide both sides by 3) ie z = -11
If you mean: (3z/7) +9 = -7 then the value of z works out as -37 and 1/3