5.4-3.1(4m+3)=46.7

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Solution for 5.4-3.1(4m+3)=46.7 equation: 


Simplifying
5.4 + -3.1(4m + 3) = 46.7

Reorder the terms:
5.4 + -3.1(3 + 4m) = 46.7
5.4 + (3 * -3.1 + 4m * -3.1) = 46.7
5.4 + (-9.3 + -12.4m) = 46.7

Combine like terms: 5.4 + -9.3 = -3.9
-3.9 + -12.4m = 46.7

Solving
-3.9 + -12.4m = 46.7

Solving for variable 'm'.

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

Add '3.9' to each side of the equation.
-3.9 + 3.9 + -12.4m = 46.7 + 3.9

Combine like terms: -3.9 + 3.9 = 0.0
0.0 + -12.4m = 46.7 + 3.9
-12.4m = 46.7 + 3.9

Combine like terms: 46.7 + 3.9 = 50.6
-12.4m = 50.6

Divide each side by '-12.4'.
m = -4.080645161

Simplifying
m = -4.080645161

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