3.7m-4.6=-1.8(6m+8)

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Solution for 3.7m-4.6=-1.8(6m+8) equation: 


Simplifying
3.7m + -4.6 = -1.8(6m + 8)

Reorder the terms:
-4.6 + 3.7m = -1.8(6m + 8)

Reorder the terms:
-4.6 + 3.7m = -1.8(8 + 6m)
-4.6 + 3.7m = (8 * -1.8 + 6m * -1.8)
-4.6 + 3.7m = (-14.4 + -10.8m)

Solving
-4.6 + 3.7m = -14.4 + -10.8m

Solving for variable 'm'.

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

Add '10.8m' to each side of the equation.
-4.6 + 3.7m + 10.8m = -14.4 + -10.8m + 10.8m

Combine like terms: 3.7m + 10.8m = 14.5m
-4.6 + 14.5m = -14.4 + -10.8m + 10.8m

Combine like terms: -10.8m + 10.8m = 0.0
-4.6 + 14.5m = -14.4 + 0.0
-4.6 + 14.5m = -14.4

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 14.5m = -14.4 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + 14.5m = -14.4 + 4.6
14.5m = -14.4 + 4.6

Combine like terms: -14.4 + 4.6 = -9.8
14.5m = -9.8

Divide each side by '14.5'.
m = -0.675862069

Simplifying
m = -0.675862069

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