Final answer:
To solve the equation -10(g - 6) = 65, distribute the -10, simplify, and isolate g to find that g = -0.5. Checking the solution by substituting back into the original equation confirms the reasonableness of the answer.
Step-by-step explanation:
To solve the equation -10(g - 6) = 65, first apply the distributive property to the left side of the equation:
-
- -10 * g = -10g
-
- -10 * (-6) = +60
Now the equation looks like this: -10g + 60 = 65.
Next, isolate the variable 'g' by first subtracting 60 from both sides of the equation:
-
- -10g + 60 - 60 = 65 - 60
-
- -10g = 5
Then divide each side by -10 to get the value of 'g':
-
- -10g / -10 = 5 / -10
-
- g = -0.5
Therefore, the value of g in the equation -10(g - 6) = 65 is -0.5.