3m+2=7m+16

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Solution for 3m+2=7m+16 equation:


Simplifying
3m + 2 = 7m + 16

Reorder the terms:
2 + 3m = 7m + 16

Reorder the terms:
2 + 3m = 16 + 7m

Solving
2 + 3m = 16 + 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.
2 + 3m + -7m = 16 + 7m + -7m

Combine like terms: 3m + -7m = -4m
2 + -4m = 16 + 7m + -7m

Combine like terms: 7m + -7m = 0
2 + -4m = 16 + 0
2 + -4m = 16

Add '-2' to each side of the equation.
2 + -2 + -4m = 16 + -2

Combine like terms: 2 + -2 = 0
0 + -4m = 16 + -2
-4m = 16 + -2

Combine like terms: 16 + -2 = 14
-4m = 14

Divide each side by '-4'.
m = -3.5

Simplifying
m = -3.5

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