Solve for n 3n-5=-8(6+5n)

Problem

3*n−5=−8*(6+5*n)

Solution

1. Distribute the −8 on the right side of the equation to both terms inside the parentheses.

3*n−5=−8*(6)+(−8)*(5*n)

3*n−5=−48−40*n

2. Add 40*n to both sides of the equation to move all terms containing the variable n to the left side.

3*n+40*n−5=−48

43*n−5=−48

3. Add 5 to both sides of the equation to isolate the term with the variable.

43*n=−48+5

43*n=−43

4. Divide both sides by 43 to solve for n

n=(−43)/43

n=−1

Final Answer

n=−1

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