2(5-8n)= -4(3+4n)

To solve the equation 2(5-8n) = -4(3+4n), we will follow these steps:

Step 1: Distribute the multiplication on both sides of the equation.

2(5) - 2(8n) = -4(3) - 4(4n)

10 - 16n = -12 - 16n

Step 2: Simplify both sides of the equation.

10 - 16n = -12 - 16n

Both sides of the equation have the term "-16n". We can eliminate this term by adding 16n to both sides of the equation.

10 - 16n + 16n = -12 - 16n + 16n

10 = -12

Step 3: Analyze the result.

In step 2, we obtained the equation 10 = -12. However, this equation is not true since 10 is not equal to -12. Therefore, there is no solution to the equation 2(5-8n) = -4(3+4n).