Solve the equation for m and show all work

(m-9)/4 - (4m-14)/7 =2

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Solve the equation for m and show all work

(m-9)/4 - (4m-14)/7 =2

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1) make sure the fraction has like denominators so the quick way is to use common denominator 7*4 = 28

(7m-63)/28 - (16m-56)/28 = 2

2) combine the top since the denominators are the same

(7m - 63 - 16m + 56) / 28 = 2

3) add/subtract like factors

(-9m -7) /28 = 2 / 1

9m - 7 = 56

9m + 7 = -56

9m = -63

m = -7

( 7m -63) / 28 - ( 16m -56)/ 28 = 2

Simply multiply both sides by 28

7m - 63 - 16m + 56 = 56

-9m - 63 =0

m = 63/- 9 = -7

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