Solve for j.
8(3j + 8) + 7 = -10 + 1 + 8j
j = ____
Solve for j. 8(3j + 8) + 7 = -10 + 1 + 8j j = ____.
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Solve for j.
8(3j + 8) + 7 = -10 + 1 + 8j
j = ____
To solve for ( j ) in the equation ( 8(3j + 8) + 7 = -10 + 1 + 8j ), we can follow these steps:
1. Distribute on the left side:
[
8 cdot 3j + 8 cdot 8 + 7 = 24j + 64 + 7 = 24j + 71
]
2. Simplify the right side:
[
-10 + 1 + 8j = -9 + 8j
]
3. Set the two sides equal:
[
24j + 71 = -9 + 8j
]
4. Subtract ( 8j ) from both sides:
[
24j – 8j + 71 = -9
]
[
16j + 71 = -9
]
5. Subtract 71 from both sides:
[
16j = -9 – 71
]
[
16j = -80
]
6. Divide by 16:
[
j = frac{-80}{16} = -5
]
Thus, the solution is:
[
j = -5
]