2m-1=4m-7+2

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Solution for 2m-1=4m-7+2 equation:


Simplifying
2m + -1 = 4m + -7 + 2

Reorder the terms:
-1 + 2m = 4m + -7 + 2

Reorder the terms:
-1 + 2m = -7 + 2 + 4m

Combine like terms: -7 + 2 = -5
-1 + 2m = -5 + 4m

Solving
-1 + 2m = -5 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-1 + 2m + -4m = -5 + 4m + -4m

Combine like terms: 2m + -4m = -2m
-1 + -2m = -5 + 4m + -4m

Combine like terms: 4m + -4m = 0
-1 + -2m = -5 + 0
-1 + -2m = -5

Add '1' to each side of the equation.
-1 + 1 + -2m = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = -5 + 1
-2m = -5 + 1

Combine like terms: -5 + 1 = -4
-2m = -4

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

Simplifying
m = 2

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