5m+40-8m-4=14m-28+7

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Solution for 5m+40-8m-4=14m-28+7 equation:


Simplifying
5m + 40 + -8m + -4 = 14m + -28 + 7

Reorder the terms:
40 + -4 + 5m + -8m = 14m + -28 + 7

Combine like terms: 40 + -4 = 36
36 + 5m + -8m = 14m + -28 + 7

Combine like terms: 5m + -8m = -3m
36 + -3m = 14m + -28 + 7

Reorder the terms:
36 + -3m = -28 + 7 + 14m

Combine like terms: -28 + 7 = -21
36 + -3m = -21 + 14m

Solving
36 + -3m = -21 + 14m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-14m' to each side of the equation.
36 + -3m + -14m = -21 + 14m + -14m

Combine like terms: -3m + -14m = -17m
36 + -17m = -21 + 14m + -14m

Combine like terms: 14m + -14m = 0
36 + -17m = -21 + 0
36 + -17m = -21

Add '-36' to each side of the equation.
36 + -36 + -17m = -21 + -36

Combine like terms: 36 + -36 = 0
0 + -17m = -21 + -36
-17m = -21 + -36

Combine like terms: -21 + -36 = -57
-17m = -57

Divide each side by '-17'.
m = 3.352941176

Simplifying
m = 3.352941176

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