Question

4 (4g + 3) = 6 (2g + 6)

Answer 1

We must solve for g the following equation:

`4(4g+3)=6(2g+6)\text{.}`

1) First, we apply the distributive property for the multiplication:

`\begin{gathered} 4\cdot4g+4\cdot3=6\cdot2g+6\cdot6, \\ 16g+12=12g+36. \end{gathered}`

2) We pass the +12 on the left as -12 on the right:

`\begin{gathered} 16g=12g+36-12, \\ 16g=12g+24. \end{gathered}`

3) We pass the +12g on the right as -12g on the left:

`\begin{gathered} 16g-12g=24, \\ 4g=24. \end{gathered}`

4) Finally, dividing both sides by 4, we get:

`\begin{gathered} g=(24)/(4), \\ g=6. \end{gathered}`

Answer

g = 6