4m+1=2m+7

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


Simplifying
4m + 1 = 2m + 7

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

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

Solving
1 + 4m = 7 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
1 + 4m + -2m = 7 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
1 + 2m = 7 + 0
1 + 2m = 7

Add '-1' to each side of the equation.
1 + -1 + 2m = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 7 + -1
2m = 7 + -1

Combine like terms: 7 + -1 = 6
2m = 6

Divide each side by '2'.
m = 3

Simplifying
m = 3

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