It all depends on the correct interpretation of the question. I have given two interpretations to demonstrate some mathematical processes. Even if they are not the correct solutions color(magenta)("the methods are important.")the methods are important.
You state m+2/3+1/4m-1m+23+14m−1 and you use the word 'solve'. This implies that you wish to determine the value of mm.
As there is no equals sign it is not possible to 'solve' for mm
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color(blue)("Taking the work on from your part 'solution'")Taking the work on from your part 'solution'
color(green)(12m+8=3m-1)12m+8=3m−1
subtract color(red)(3m)3m from both sides
color(green)(12mcolor(red)(-3m)+8" "=" "3mcolor(red)(-3m)-1)12m−3m+8 = 3m−3m−1
color(green)(" "9m" "color(white)(.)+8" "=" "0" "-1) 9m .+8 = 0 −1
Subtract color(red)(8)8 from both sides
color(green)(9m+8color(red)(-8)" "=" "-1color(red)(-8)9m+8−8 = −1−8
color(green)(9m" "+0" "=" "-9)9m +0 = −9
Divide both sides by color(red)(9)9
color(green)(9/(color(red)(9)) m" "=" "(-9)/(color(red)(9)))99m = −99
but 9/9=1 and (-9)/9=-199=1and−99=−1
color(green)(1m=-1)1m=−1
but writing 1m1m is bad practice so write this as just mm
m=-1m=−1
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color(blue)("Assuming that we have an expression and not an equation")Assuming that we have an expression and not an equation
An expression does not have an equals sign in it.
Simplifying the expression -> m+2/3+1/4m-1→m+23+14m−1
Note that mm is the same as 1m1m which is also the same as 4/4m44m
m+2/3+1/4m-1" "->" "4/4m+2/3+1/4m-1m+23+14m−1 → 44m+23+14m−1
" "->" "4/4m+1/4m+2/3-1 → 44m+14m+23−1
" "->" "5/4m+2/3-1 → 54m+23−1
Note that -1−1 is the same as -3/3−33
5/4m+2/3-1" "->" "5/4m+2/3-3/354m+23−1 → 54m+23−33
" "->" "5/4m-1/3 larr" Simplified" → 54m−13← Simplified
