3m+1=7m-9

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Solution for 3m+1=7m-9 equation:


Simplifying
3m + 1 = 7m + -9

Reorder the terms:
1 + 3m = 7m + -9

Reorder the terms:
1 + 3m = -9 + 7m

Solving
1 + 3m = -9 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
1 + 3m + -7m = -9 + 7m + -7m

Combine like terms: 3m + -7m = -4m
1 + -4m = -9 + 7m + -7m

Combine like terms: 7m + -7m = 0
1 + -4m = -9 + 0
1 + -4m = -9

Add '-1' to each side of the equation.
1 + -1 + -4m = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = -9 + -1
-4m = -9 + -1

Combine like terms: -9 + -1 = -10
-4m = -10

Divide each side by '-4'.
m = 2.5

Simplifying
m = 2.5

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