How do you solve #8-3/8k=-4#?

2 Answers
Feb 16, 2017

#k=32#

Explanation:

#8-3/8k=-4#

or

#3/8k=8+4#

or

#3/8k=12#

or

#k=12times8/3#

or

#k=32#

Feb 16, 2017

See the entire solution process below:

Explanation:

Step 1) Subtract #color(red)(8)# from each side of the equation to isolate the #k# term while keeping the equation balanced:

#-color(red)(8) + 8 - 3/8k = -color(red)(8) - 4#

#0 - 3/8k = -12#

#-3/8k = -12#

Step 2) Multiply each side of the equation by #-color(red)(8)/color(blue)(3)# to solve for #k# while keeping the equation balanced:

#-color(red)(8)/color(blue)(3) xx -3/8k = -color(red)(8)/color(blue)(3) xx -12#

#-cancel(color(red)(8))/cancel(color(blue)(3)) xx -color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(8)))k = -color(red)(8)/color(blue)(3) xx -(3 xx 4)#

#k = -color(red)(8)/cancel(color(blue)(3)) xx -(color(blue)(cancel(color(black)(3))) xx 4)#

#k = 32#