How do you solve #5( k - 4) + 3k = 4#?

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Answer 1 · 2016-11-21T22:37:35

#k = 3#

Step 1) First, expand the terms within the parenthesis:

#(5*k) - (5*4) + 3k = 4#

#5k - 20 + 3k = 4#

Step 2) Next, combine like terms:

#(5 + 3)k - 20 = 4#

#8k - 20 = 4#

Step 3) Solve for #k# while keeping the equation balanced:

#8k - 20 + 20 = 4 + 20#

#8k - 0 = 24#

#8k = 24#

#(8k)/8 = 24/8#

#1k = 3#

#k = 3#