SOLUTION: Please help me solve this equation: 16z-9=4z+3

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Question 24232: Please help me solve this equation: 16z-9=4z+3
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: z=1.
  • Graphical form: Equation 16z-9=4z%2B3 was fully solved.
  • Text form: 16z-9=4z+3 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+16z-9=4z%2B3+%29
    For tutors: simplify_cartoon( 16z-9=4z+3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 16%2Az-9=highlight_red%28+4%2Az%2B3+%29.
Moved these terms to the left highlight_green%28+-4%2Az+%29,highlight_green%28+-3+%29
It becomes 16%2Az-9-highlight_green%28+4%2Az+%29-highlight_green%28+3+%29=0.
Look at 16%2Az-highlight_red%28+9+%29-4%2Az-highlight_red%28+3+%29=0.
Added fractions or integers together
It becomes 16%2Az%2Bhighlight_green%28+-12+%29-4%2Az=0.
Look at 16%2Az%2Bhighlight_red%28+-12+%29-4%2Az=0.
Moved -12 to the right of expression
It becomes 16%2Az-4%2Az%2Bhighlight_green%28+-12+%29=0.
Look at 16%2Az-4%2Az%2Bhighlight_red%28+-12+%29=0.
Removed extra sign in front of -12
It becomes 16%2Az-4%2Az-highlight_green%28+12+%29=0.
Look at highlight_red%28+16%2Az+%29-highlight_red%28+4%2Az+%29-12=0.
Eliminated similar terms highlight_red%28+16%2Az+%29,highlight_red%28+-4%2Az+%29 replacing them with highlight_green%28+%2816-4%29%2Az+%29
It becomes highlight_green%28+%2816-4%29%2Az+%29-12=0.
Look at %28highlight_red%28+16+%29-highlight_red%28+4+%29%29%2Az-12=0.
Added fractions or integers together
It becomes %28highlight_green%28+12+%29%29%2Az-12=0.
Look at highlight_red%28+%28highlight_red%28+12+%29%29%2Az+%29-12=0.
Remove unneeded parentheses around factor highlight_red%28+12+%29
It becomes highlight_green%28+12+%29%2Az-12=0.
Look at highlight_red%28+12%2Az-12+%29=0.
Solved linear equation highlight_red%28+12%2Az-12=0+%29 equivalent to 12*z-12 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: z=1.

Universal Simplifier and Solver


Done!

Hope this helps!