Final answer:
The equation initially provided does not match any of the multiple-choice answers upon solving. It's important to carefully combine like terms and isolate the variable when solving algebraic equations. Clarification or rechecking the calculation might be necessary in this situation.
Step-by-step explanation:
To solve the equation -8.5g - 8.45 = 2.4g - 8.7g + 19.71 for g, we first combine like terms on each side of the equation.
Combine the terms with g on the right side:
2.4g - 8.7g = -6.3g
Now the equation is -8.5g - 8.45 = -6.3g + 19.71.
Next, we'll add 6.3g to both sides to get all the g terms on one side:
-8.5g + 6.3g - 8.45 = 19.71
-2.2g - 8.45 = 19.71
Add 8.45 to both sides to isolate the g term:
-2.2g = 19.71 + 8.45
-2.2g = 28.16
Now, to solve for g, divide both sides by -2.2:
g = 28.16 / -2.2
g = -12.8
It seems there has been either a miscalculation or a misunderstanding, as none of the multiple-choice options match the calculated answer. It may be useful to recheck the calculations or clarify the equation provided.