SOLUTION: 5(2k + 6) + 2(1 - 3k) = 60

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Question 216456: 5(2k + 6) + 2(1 - 3k) = 60
Found 2 solutions by drj, rfer:
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!


The following steps will simplify and solve the above equation


Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: k=7.
  • Graphical form: Equation was fully solved.
  • Text form: 5*(2k+6)+2*(1-3k)=60 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5*(2k+6)+2*(1-3k)=60 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved 1 to the right of expression
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-60+%29
It becomes .

Look at .
Expanded term 5 by using associative property on %282%2Ak%2B6%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved -30 to the right of expression
It becomes .

Look at .
Removed extra sign in front of -30
It becomes .

Look at .
Expanded term 2 by using associative property on %28-3%2Ak%2B1%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -28
It becomes .

Look at .
Eliminated similar terms highlight_red%28+10%2Ak+%29,highlight_red%28+-6%2Ak+%29 replacing them with highlight_green%28+%2810-6%29%2Ak+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .

Look at .
Solved linear equation highlight_red%28+4%2Ak-28=0+%29 equivalent to 4*k-28 =0
It becomes .
Result:
This is an equation! Solutions: k=7.

Universal Simplifier and Solver


Done!




I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra,
please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and
for Trigonmetry please visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at
john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
5(2k+6)+2(1-3k)=60
10k+30+2-6k=60
4k=28
k=7

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