How do you solve #-6.61- 7k = - 5.9k + 1.53#?

1 Answer
smendyka
Nov 18, 2017

See a solution process below:

Explanation:

First, add #color(red)(7k)# and subtract #color(blue)(1.53)# from each side of the equation to isolate the #k# term while keeping the equation balanced:

#-6.61 - 7k + color(red)(7k) - color(blue)(1.53) = -5.9k + 1.53 + color(red)(7k) - color(blue)(1.53)#

#-6.61 - color(blue)(1.53) - 7k + color(red)(7k) = -5.9k + color(red)(7k) + 1.53 - color(blue)(1.53)#

#-8.14 - 0 = (-5.9 + color(red)(7))k + 0#

#-8.14 = 1.1k#

Now, divide each side of the equation by #color(red)(1.1)# to solve for #k# while keeping the equation balanced:

#-8.14/color(red)(1.1) = (1.1k)/color(red)(1.1)#

#-7.4 = (color(red)(cancel(color(black)(1.1)))k)/cancel(color(red)(1.1))#

#-7.4 = k#

#k = -7.4#

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