Question

Solve for g. 6(-2g-1)=-(13g+2)
A) g = 2
B) g = -1
C) g = 1
D) g = -2

Answer 1

After expanding and simplifying the given equation, the value for g is found to be 4, which does not match any of the provided answer choices, suggesting an error in the options given.

Step-by-step explanation:

To solve for g in the equation 6(-2g-1) = -(13g+2), we need to expand and simplify the equation step by step:

• First, distribute the 6 inside the left parenthesis: 6 * (-2g) + 6 * (-1) = -12g - 6.
• Next, distribute the negative sign on the right side: -(13g) - 2 = -13g - 2.
• Now we have the simplified equation: -12g - 6 = -13g - 2.
• Then, we can add 13g to both sides to get g on one side of the equation: -12g + 13g - 6 = -13g + 13g - 2, which simplifies to g - 6 = -2.
• Add 6 to both sides to solve for g: g - 6 + 6 = -2 + 6, which gives us g = 4.

However, none of the provided options (A, B, C, D) matches the solution g = 4, indicating a possible error in the question or answer choices.