4m-7=6m+9

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Solution for 4m-7=6m+9 equation:


Simplifying
4m + -7 = 6m + 9

Reorder the terms:
-7 + 4m = 6m + 9

Reorder the terms:
-7 + 4m = 9 + 6m

Solving
-7 + 4m = 9 + 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.
-7 + 4m + -6m = 9 + 6m + -6m

Combine like terms: 4m + -6m = -2m
-7 + -2m = 9 + 6m + -6m

Combine like terms: 6m + -6m = 0
-7 + -2m = 9 + 0
-7 + -2m = 9

Add '7' to each side of the equation.
-7 + 7 + -2m = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = 9 + 7
-2m = 9 + 7

Combine like terms: 9 + 7 = 16
-2m = 16

Divide each side by '-2'.
m = -8

Simplifying
m = -8

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