4m-5=7m+6-m

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Solution for 4m-5=7m+6-m equation:


Simplifying
4m + -5 = 7m + 6 + -1m

Reorder the terms:
-5 + 4m = 7m + 6 + -1m

Reorder the terms:
-5 + 4m = 6 + 7m + -1m

Combine like terms: 7m + -1m = 6m
-5 + 4m = 6 + 6m

Solving
-5 + 4m = 6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-5 + 4m + -6m = 6 + 6m + -6m

Combine like terms: 4m + -6m = -2m
-5 + -2m = 6 + 6m + -6m

Combine like terms: 6m + -6m = 0
-5 + -2m = 6 + 0
-5 + -2m = 6

Add '5' to each side of the equation.
-5 + 5 + -2m = 6 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 6 + 5
-2m = 6 + 5

Combine like terms: 6 + 5 = 11
-2m = 11

Divide each side by '-2'.
m = -5.5

Simplifying
m = -5.5

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