Question 156725


{{{0.51m+0.03=0.4m-0.74}}} Start with the given equation.



{{{100(0.51m+0.03)=100(0.4m-0.74)}}} Multiply both sides by 100 to clear out the decimals.



{{{51m+3=40m-74}}} Distribute and multiply.



{{{51m=40m-74-3}}} Subtract {{{3}}} from both sides.



{{{51m-40m=-74-3}}} Subtract {{{40m}}} from both sides.



{{{11m=-74-3}}} Combine like terms on the left side.



{{{11m=-77}}} Combine like terms on the right side.



{{{m=(-77)/(11)}}} Divide both sides by {{{11}}} to isolate {{{m}}}.



{{{m=-7}}} Reduce.



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Answer:


So the answer is {{{m=-7}}}