0.1(2m+3)-4m=1.1(2-3m)-2.4

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Solution for 0.1(2m+3)-4m=1.1(2-3m)-2.4 equation: 


Simplifying
0.1(2m + 3) + -4m = 1.1(2 + -3m) + -2.4

Reorder the terms:
0.1(3 + 2m) + -4m = 1.1(2 + -3m) + -2.4
(3 * 0.1 + 2m * 0.1) + -4m = 1.1(2 + -3m) + -2.4
(0.3 + 0.2m) + -4m = 1.1(2 + -3m) + -2.4

Combine like terms: 0.2m + -4m = -3.8m
0.3 + -3.8m = 1.1(2 + -3m) + -2.4
0.3 + -3.8m = (2 * 1.1 + -3m * 1.1) + -2.4
0.3 + -3.8m = (2.2 + -3.3m) + -2.4

Reorder the terms:
0.3 + -3.8m = 2.2 + -2.4 + -3.3m

Combine like terms: 2.2 + -2.4 = -0.2
0.3 + -3.8m = -0.2 + -3.3m

Solving
0.3 + -3.8m = -0.2 + -3.3m

Solving for variable 'm'.

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

Add '3.3m' to each side of the equation.
0.3 + -3.8m + 3.3m = -0.2 + -3.3m + 3.3m

Combine like terms: -3.8m + 3.3m = -0.5m
0.3 + -0.5m = -0.2 + -3.3m + 3.3m

Combine like terms: -3.3m + 3.3m = 0.0
0.3 + -0.5m = -0.2 + 0.0
0.3 + -0.5m = -0.2

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -0.5m = -0.2 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.5m = -0.2 + -0.3
-0.5m = -0.2 + -0.3

Combine like terms: -0.2 + -0.3 = -0.5
-0.5m = -0.5

Divide each side by '-0.5'.
m = 1

Simplifying
m = 1

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