Question

Solve the equation -10(g - 6) = 65.

Answer 1

g = -1/2

Explanation:

-10(g - 6) = 65

Distribute

-10g +60 = 65

Subtract 60 from each side

-10g+60-60 = 65-60

-10g = 5

Divide by -10

-10g/-10 = 5/-10

g = -1/2

Answer 2

`\huge\text{Hey there!}`

`\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{(-10g)/(-10)=(5)/(-10)}\\\\\large\text{CANCEL out:: }\mathsf{(-10)/(-10)}\large\text{ because that gives you 1}`

`\large\text{KEEP: }\mathsf{(5)/(-10)}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{(5)/(-10)}\\\\\large\textsf{g =}\mathsf{(5/5)/(-10/5)}\\\\\large\textsf{g = }\mathsf{\bf - (1)/(2)}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf (1)/(2)}}}\huge\checkmark`