How do you solve #-1+ 8n + 4= 19#?

2 Answers
May 31, 2018

Answer:

#n=2#

Explanation:

  1. Sum similar terms: #color(red)(-1)+8n\color(red)(+4)=19 \to 8n+3=19#
  2. Isolate the term involving the variable on the left: to do so, subtract #3# from both sides: #8n+3\color(red)(-3) = 19\color(red)(-3)#. The equation becomes #8n = 16#
  3. Solve for the variable. To do so, divide both sides by #8#: #\frac{8n}{\color(red)(8)} = \frac{16}{\color(red)(8)} \to n = 2#
May 31, 2018

Answer:

#x=2#

Explanation:

Using Distributive Property..

#-1 + 8n + 4 = 19#

Firstly, collecting like terms on the LHS only;

#-1 + 4 + 8n = 19#

#3 + 8n = 19#

Secondly, subtract #3# from both sides;

#3 + 8n - 3 = 19 - 3#

#3 - 3 + 8n = 19 - 3#

#0 + 8n = 16#

#8n = 16#

Thirdly, divide both sides by the coefficient of #n#

#(8n)/8 = 16/8#

#(cancel8n)/cancel8 = 16/8#

#x = 16/8#

#x=2#