Question

-16 + 5n= -7(-6 + 8n) + 3

Answer 1

$\text{Hello there!}\\\\\text{In this question, we're trying to solve the equation}\\\text{We would use the distributive property and solve after that}\\\\\text{Lets solve:}\\\\-16 + 5n= -7(-6 + 8n) + 3\\\\\text{Distribute the -7 to the numbers inside the parenthesis}\\\\-16 + 5n= 42 -56n + 3\\\\\text{Add 56n to both sides}\\\\-16 + 61n= 42 + 3\\\\\text{Add 16 to both sides}\\\\61n= 42 + 3 + 16\\\\61n= 42 + 3 + 16\\\\61n= 45 + 16\\\\61n = 61\\\\\text{Divide both sides by 61}$

$n = 1$

I hope this helps!

Best regards,

MasterInvestor

Answer 2

-16 + 5n = 42 - 56n + 3
-16 + 61n = 45
61n = 61
N = 1