.5m+6.4=4.9-.1m

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Solution for .5m+6.4=4.9-.1m equation: 


Simplifying
0.5m + 6.4 = 4.9 + -0.1m

Reorder the terms:
6.4 + 0.5m = 4.9 + -0.1m

Solving
6.4 + 0.5m = 4.9 + -0.1m

Solving for variable 'm'.

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

Add '0.1m' to each side of the equation.
6.4 + 0.5m + 0.1m = 4.9 + -0.1m + 0.1m

Combine like terms: 0.5m + 0.1m = 0.6m
6.4 + 0.6m = 4.9 + -0.1m + 0.1m

Combine like terms: -0.1m + 0.1m = 0.0
6.4 + 0.6m = 4.9 + 0.0
6.4 + 0.6m = 4.9

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.6m = 4.9 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.6m = 4.9 + -6.4
0.6m = 4.9 + -6.4

Combine like terms: 4.9 + -6.4 = -1.5
0.6m = -1.5

Divide each side by '0.6'.
m = -2.5

Simplifying
m = -2.5

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