Final answer:
The equation -2j + 7 = -12 is solved by isolating j to find its value. The correct solution is j = 9.5, which is not among the given options.
Step-by-step explanation:
The equation given is −2j + 7 = −12. To solve for j, we first move the constant 7 to the other side of the equation by subtracting 7 from both sides, which gives us −2j = −19. Next, to find the value of j, we divide both sides of the equation by −2 to isolate j. This results in j = −19 / (−2), which simplifies to j = 19 / 2. Therefore, the correct answer is none of the given options: (a) j = -10, (b) j = 10, (c) j = -5, or (d) j = 5. The correct value of j is 9.5 which is not listed in the given options.